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Journal articles on the topic 'Skyrme functionals'

Author: Grafiati

Published: 25 January 2025

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1

Selva, Giovanni, Xavier Roca-Maza, and Gianluca Colò. "Isospin Symmetry Breaking Effects on the Mass-Radius Relation of a Neutron Star." Symmetry 13, no. 1 (January 16, 2021): 144. http://dx.doi.org/10.3390/sym13010144.

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Isospin symmetry breaking effects on the mass-radius relation of a cold, non-accreting neutron star are studied on the basis of two Skyrme Energy Density Functionals (EDFs). One functional contains isospin symmetry breaking terms other than those typically included in Skyrme EDFs while its counterpart is of standard form. Both functionals are based on the same fitting protocol except for the observables and pseudo-observables sensitive to the isospin symmetry breaking channel. The quality of those functionals is similar in the description of terrestrial observables but choosing either of them has a non-negligible effect on the mass-radius relation and tidal deformability of a neutron star. Further investigations are needed to clarify the effects of isospin symmetry breaking on these and other observables of neutron stars that are, and will become, available.

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2

KOSHKIN, SERGIY. "GAUGE THEORY OF FADDEEV–SKYRME FUNCTIONALS." Communications in Contemporary Mathematics 12, no. 05 (October 2010): 871–908. http://dx.doi.org/10.1142/s0219199710004020.

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We study geometric variational problems for a class of nonlinear σ-models in quantum field theory. Mathematically, one needs to minimize an energy functional on homotopy classes of maps from closed 3-manifolds into compact homogeneous spaces G/H. The minimizers are known as Hopfions and exhibit localized knot-like structure. Our main results include proving existence of Hopfions as finite energy Sobolev maps in each (generalized) homotopy class when the target space is a symmetric space. For more general spaces, we obtain a weaker result on existence of minimizers in each 2-homotopy class.Our approach is based on representing maps into G/H by equivalence classes of flat connections. The equivalence is given by gauge symmetry on pullbacks of G → G/H bundles. We work out a gauge calculus for connections under this symmetry, and use it to eliminate non-compactness from the minimization problem by fixing the gauge.

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3

Pastore, A., D. Davesne, K. Bennaceur, J. Meyer, and V. Hellemans. "Fitting Skyrme functionals using linear response theory." Physica Scripta T154 (May 1, 2013): 014014. http://dx.doi.org/10.1088/0031-8949/2013/t154/014014.

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4

Pudliner, B. S., A. Smerzi, J. Carlson, V. R. Pandharipande, Steven C. Pieper, and D. G. Ravenhall. "Neutron Drops and Skyrme Energy-Density Functionals." Physical Review Letters 76, no. 14 (April 1, 1996): 2416–19. http://dx.doi.org/10.1103/physrevlett.76.2416.

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5

PAAR, N., T. MARKETIN, D. VRETENAR, Y. F. NIU, G. COLÒ, E. KHAN, and J. MENG. "NUCLEAR EXCITATIONS AND WEAK INTERACTION RATES AT FINITE TEMPERATURE." Modern Physics Letters A 25, no. 21n23 (July 30, 2010): 1767–70. http://dx.doi.org/10.1142/s0217732310000289.

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Self-consistent theory frameworks have been introduced for description of excitations in nuclei at finite temperature, based on energy density functionals formulated using i) relativistic mean field Lagrangian with density dependent meson-nucleon vertex functions, and ii) Skyrme-type functionals. Finite temperature random phase approximation (FTRPA) has been employed in description of multipole excitations and charge-exchange modes. It is shown that in the temperature range T = 1–2 MeV additional transition strength appears at low energies due to thermal unblocking of single-particle orbitals close to the Fermi level. Within the finite temperature Hartree-Fock+RPA based on Skyrme functionals, the electron capture cross sections have been studied for target nuclei at temperatures relevant in modeling the supernova evolution.

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6

COLÒ, G. "THE SYMMETRY ENERGY AND OTHER OPEN QUESTIONS CONCERNING EFFECTIVE FUNCTIONALS." International Journal of Modern Physics E 18, no. 04 (April 2009): 1008–13. http://dx.doi.org/10.1142/s0218301309013166.

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The nuclear structure community is striving to determine a nuclear energy functional which is as universal and as accurate as possible. When a functional is determined by fitting free parameters, the constraints on these parameters coming from excited states (like the well-known giant resonances) are not, as a rule, imposed. This work shows that at least three constraints could be imposed on Skyrme functionals, by explaining the physical background and discussing their relevance.

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7

BALLY, B., B. AVEZ, M. BENDER, and P. H. HEENEN. "SYMMETRY RESTORATION FOR ODD-MASS NUCLEI WITH A SKYRME ENERGY DENSITY FUNCTIONAL." International Journal of Modern Physics E 21, no. 05 (May 2012): 1250026. http://dx.doi.org/10.1142/s0218301312500267.

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In these proceedings, we report first results for particle-number and angular-momentum projection of self-consistently blocked triaxial one-quasiparticle HFB states for the description of odd-A nuclei in the context of regularized multi-reference energy density functionals, using the entire model space of occupied single-particle states. The SIII parametrization of the Skyrme energy functional and a volume-type pairing interaction are used.

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8

Brenna, Marco, Gianluca Colò, and Pier Francesco Bortignon. "Gamma decay of giant resonances by using Skyrme functionals." Journal of Physics: Conference Series 336 (December 28, 2011): 012010. http://dx.doi.org/10.1088/1742-6596/336/1/012010.

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9

Slobodeanu, R. "ON A STABILITY PROPERTY OF SKYRME-RELATED ENERGY FUNCTIONALS." Quarterly Journal of Mathematics 66, no. 1 (September 25, 2014): 285–94. http://dx.doi.org/10.1093/qmath/hau024.

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10

Yakhshiev, Ulugbek. "From nucleons to nuclei (chiral soliton approach)." International Journal of Modern Physics: Conference Series 49 (January 2019): 1960007. http://dx.doi.org/10.1142/s2010194519600073.

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We discuss the properties of nucleons in nuclear matter and the properties of nucleonic systems in the framework of an in-medium modified Skyrme Lagrangian. The modification is achieved by introducing the medium functionals into the original Skyrme Model Lagrangian in free space[Formula: see text]. The parameters of the medium functionals are related to the low density phenomenology (i.e. to the pionic atoms3) from the one side and to the properties of nuclear matter at the saturation density [Formula: see text] from the other side. After fitting the parameters of the model, the extrapolations into the low density and high density regions showed that the model can successfully describe the Equations of State (EoS) of nuclear matter in the wide range of densities including the high critical densities existing in the interiors of neutron stars.

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11

PASTORE, A., K. BENNACEUR, D. DAVESNE, and J. MEYER. "LINEAR RESPONSE IN INFINITE NUCLEAR MATTER AS A TOOL TO REVEAL FINITE SIZE INSTABILITIES." International Journal of Modern Physics E 21, no. 05 (May 2012): 1250040. http://dx.doi.org/10.1142/s0218301312500401.

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Nuclear effective interactions are often modeled by simple analytical expressions such as the Skyrme zero-range force. This effective interaction depends on a limited number of parameters that are usually fitted using experimental data obtained from doubly magic nuclei. It was recently shown that many Skyrme functionals lead to the appearance of instabilities, in particular when symmetries are broken, for example unphysical polarization of odd–even or rotating nuclei. In this paper, we show how the formalism of the linear response in infinite nuclear matter can be used to predict and avoid the regions of parameters that are responsible for these unphysical instabilities.

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12

BENDER, M., T. DUGUET, P. H. HEENEN, and D. LACROIX. "REGULARIZATION OF MULTI-REFERENCE ENERGY DENSITY FUNCTIONAL CALCULATIONS." International Journal of Modern Physics E 20, no. 02 (February 2011): 259–69. http://dx.doi.org/10.1142/s0218301311017600.

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We report the first application of a recently proposed regularization procedure for multi-reference energy density functionals, which removes spurious divergent or non-continuous contributions to the binding energy, to a general configuration mixing. As an example, we present a calculation that corresponds to the particle-number and angular momentum projection of axially symmetric time-reversal invariant quasiparticle vacua of different quadrupole deformation for the nucleus 18 O . The SIII parameterization of the Skyrme energy functional is used.

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13

Chamel, N., R. L. Pavlov, L. M. Mihailov, Ch J. Velchev, Zh K. Stoyanov, Y. D. Mutafchieva, M. D. Ivanovich, A. F. Fantina, J. M. Pearson, and S. Goriely. "Unified description of dense matter in neutron stars and magnetars." Proceedings of the International Astronomical Union 8, S291 (August 2012): 359–61. http://dx.doi.org/10.1017/s1743921312024118.

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AbstractWe have recently developed a set of equations of state based on the nuclear energy density functional theory providing a unified description of the different regions constituting the interior of neutron stars and magnetars. The nuclear functionals, which were constructed from generalized Skyrme effective nucleon-nucleon interactions, yield not only an excellent fit to essentially all experimental atomic mass data but were also constrained to reproduce the neutron-matter equation of state as obtained from realistic many-body calculations.

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14

Fantina, A. F., E. Khan, G. Colò, N. Paar, and D. Vretenar. "Stellar electron-capture rates on nuclei based on Skyrme functionals." EPJ Web of Conferences 66 (2014): 02035. http://dx.doi.org/10.1051/epjconf/20146602035.

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15

de Guerra, E. Moya, O. Moreno, and P. Sarriguren. "Remodelling the spin-orbit term of Skyrme energy density functionals." Journal of Physics: Conference Series 312, no. 9 (September 23, 2011): 092045. http://dx.doi.org/10.1088/1742-6596/312/9/092045.

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16

Schunck, N., K. R. Quinlan, and J. Bernstein. "A Bayesian analysis of nuclear deformation properties with Skyrme energy functionals." Journal of Physics G: Nuclear and Particle Physics 47, no. 10 (September 8, 2020): 104002. http://dx.doi.org/10.1088/1361-6471/aba4fa.

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17

Du, Pengxiang, and Jian Li. "Exploring the Neutron Magic Number in Superheavy Nuclei: Insights into N = 258." Particles 7, no. 4 (December 12, 2024): 1086–94. https://doi.org/10.3390/particles7040066.

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In the framework of axial symmetric relativistic Hartree–Bogoliubov (RHB) theory and the Skyrme Hartree–Fock–Bogoliubov (HFB) theory, the evolution of shell structure, density distribution, and ground state deformation in superheavy nuclei proximate to N=258 are investigated within the relativistic functionals DD-PC1 and DD-ME2, as well as the non-relativistic functional UNEDF0. The results from DD-ME2 and UNEDF0 indicate that N=258 is a neutron magic number, whereas DD-PC1 does not anticipate the existence of a bound N=258 magic nucleus. Further discussion suggests that the emergence of the magic number N=258 is related to the depression of the central density.

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18

Pastore, A., M. Martini, D. Davesne, J. Navarro, N. Chamel, and S. Goriely. "Neutrino mean free path in neutron matter with Brussels-Montreal Skyrme functionals." Journal of Physics: Conference Series 665 (January 5, 2016): 012067. http://dx.doi.org/10.1088/1742-6596/665/1/012067.

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19

Becker, P., D. Davesne, J. Meyer, A. Pastore, and J. Navarro. "Tools for incorporating a D-wave contribution in Skyrme energy density functionals." Journal of Physics G: Nuclear and Particle Physics 42, no. 3 (February 5, 2015): 034001. http://dx.doi.org/10.1088/0954-3899/42/3/034001.

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20

Mondal, C., B. K. Agrawal, J. N. De, and S. K. Samaddar. "Correlations among symmetry energy elements in Skyrme models." International Journal of Modern Physics E 27, no. 09 (September 2018): 1850078. http://dx.doi.org/10.1142/s0218301318500787.

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Motivated by the interrelationships found between the various symmetry energy elements of the energy density functionals (EDF) based on the Skyrme forces, possible correlations among them are explored. A total of 237 Skyrme EDFs are used for this purpose. As some of these EDFs yield values of a few nuclear observables far off from the present acceptable range, studies are done also with a subset of 162 EDFs that comply with a conservative set of constraints on the values of nuclear matter incompressibility coefficient, effective mass of the nucleon and the isovector splitting of effective nucleon masses to see the enhancement of the correlation strength, if any. The curvature parameter [Formula: see text] and the skewness parameter [Formula: see text] of the symmetry energy are found to be very well correlated with the linear combination of the symmetry energy coefficient and its density derivative [Formula: see text]. The isovector splitting of the effective nucleon mass, however, displays a somewhat meaningful correlation with a linear combination of the symmetry energy, its slope and its curvature parameter.

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21

Gambacurta, Danilo. "Gamow-Teller excitations in the Subtracted Second RPA approach." Journal of Physics: Conference Series 2453, no. 1 (March 1, 2023): 012017. http://dx.doi.org/10.1088/1742-6596/2453/1/012017.

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Abstract The charge-exchange subtracted second random-phase approximation, based on Skyrme functionals, is employed to investigate the Gamow-Teller resonances in several nuclei, located in different regions of the nuclear chart. The amount of Gamow-Teller strength is considerably smaller than in other energy-density-functional based calculations and agrees better with the experimental data. These important results, obtained without any ad hoc quenching factors, are due to the inclusion of two-particle–two-hole configurations. Their density progressively increases with excitation energy, leading to a long high-energy tail in the spectrum. This result may have implications for the computation of nuclear matrix elements for neutrinoless double-beta decay in the same framework.

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22

Chamel, N., A. F. Fantina, J. M. Pearson, and S. Goriely. "Symmetry energy from nuclear masses and neutron-star observations using generalised Skyrme functionals." Journal of Physics: Conference Series 665 (January 5, 2016): 012066. http://dx.doi.org/10.1088/1742-6596/665/1/012066.

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23

Chamel, N., A. F. Fantina, J. M. Pearson, and S. Goriely. "Does a hadron-quark phase transition in dense matter preclude the existence of massive neutron stars?" Proceedings of the International Astronomical Union 8, S291 (August 2012): 356–58. http://dx.doi.org/10.1017/s1743921312024106.

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AbstractWe study the impact of a hadron-quark phase transition on the maximum neutron-star mass. The hadronic part of the equation of state relies on the most up-to-date Skyrme nuclear energy density functionals, fitted to essentially all experimental nuclear mass data and constrained to reproduce the properties of infinite nuclear matter as obtained from microscopic calculations using realistic forces. We show that the softening of the dense matter equation of state due to the phase transition is not necessarily incompatible with the existence of massive neutron stars like PSR J1614–2230.

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24

ZALEWSKI, M., P. OLBRATOWSKI, and W. SATUŁA. "THE NUCLEAR ENERGY DENSITY FUNCTIONALS WITH MODIFIED RADIAL DEPENDENCE OF THE ISOSCALAR EFFECTIVE MASS." International Journal of Modern Physics E 19, no. 04 (April 2010): 794–99. http://dx.doi.org/10.1142/s0218301310015242.

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Calculations for infinite nuclear matter with realistic nucleon-nucleon interactions suggest that the isoscalar effective mass (IEM) of a nucleon at the saturation density equals m*/m ~ 0.8 ± 0.1, at variance with empirical data on the nuclear level density in finite nuclei which are consistent with m*/m ≈ 1. This contradicting results might be reconciled by enriching the radial dependence of IEM. In this work four new terms are introduced into the Skyrme-force inspired local energy-density functional: τ(∇ρ)2, [Formula: see text], τ2 and τ∆ρ. The aim is to investigate how they influence the radial dependence of IEM and, in turn, the single-particle spectra.

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25

Vidaña, Isaac, Jérôme Margueron, and Hans-Josef Schulze. "Nuclear Matter Equation of State in the Brueckner–Hartree–Fock Approach and Standard Skyrme Energy Density Functionals." Universe 10, no. 5 (May 17, 2024): 226. http://dx.doi.org/10.3390/universe10050226.

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The equation of state of asymmetric nuclear matter as well as the neutron and proton effective masses and their partial-wave and spin–isospin decomposition are analyzed within the Brueckner–Hartree–Fock approach. Theoretical uncertainties for all these quantities are estimated by using several phase-shift-equivalent nucleon–nucleon forces together with two types of three-nucleon forces, phenomenological and microscopic. It is shown that the choice of the three-nucleon force plays an important role above saturation density, leading to different density dependencies of the energy per particle. These results are compared to the standard form of the Skyrme energy density functional, and we find that it is not possible to reproduce the BHF predictions in the (S,T) channels in symmetric and neutron matter above saturation density, already at the level of the two-body interaction, and even more including the three-body interaction.

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26

AVOGADRO, P., F. BARRANCO, R. A. BROGLIA, and E. VIGEZZI. "ON THE STRUCTURE OF VORTICES IN THE INNER CRUST OF NEUTRON STARS." International Journal of Modern Physics A 24, no. 11 (April 30, 2009): 2084–90. http://dx.doi.org/10.1142/s0217751x09045650.

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We study the structure of vortices and their interaction with nuclei in the inner crust of neutron stars. Vortices carry most of the angular momentum of the crust and according to some models are expected to play a key role in the phenomenon of glitches. The quantities of interest (the energy, the pairing gap, the density and the velocity field) are calculated in the framework of the Hartree-Fock-Bogoliubov (HFB) quantum mean field theory. We solve the HFB equations testing four different Skyrme functionals in the particle hole-channel and using a density-dependent contact interaction in the particle-particle channel. We find that the structure of a vortex is strongly affected by the presence of the nucleus, a fact which reflects itself in the density dependence of the pinning energy we calculate.

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27

Robledo, L. M. "Remarks on the use of projected densities in the density-dependent part of Skyrme or Gogny functionals." Journal of Physics G: Nuclear and Particle Physics 37, no. 6 (April 7, 2010): 064020. http://dx.doi.org/10.1088/0954-3899/37/6/064020.

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28

Dobaczewski, J., A. V. Afanasjev, M. Bender, L. M. Robledo, and Yue Shi. "Properties of nuclei in the nobelium region studied within the covariant, Skyrme, and Gogny energy density functionals." Nuclear Physics A 944 (December 2015): 388–414. http://dx.doi.org/10.1016/j.nuclphysa.2015.07.015.

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29

Terasaki, Jun. "Testing Skyrme Energy-Density Functionals with the QRPA in Low-lying Vibrational States of Rare-Earth Nuclei." Progress of Theoretical Physics Supplement 196 (2012): 377–81. http://dx.doi.org/10.1143/ptps.196.377.

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30

FAYANS, S. A., and D. ZAWISCHA. "LOCAL ENERGY-DENSITY FUNCTIONAL APPROACH TO MANY-BODY NUCLEAR SYSTEMS WITH S-WAVE PAIRING." International Journal of Modern Physics B 15, no. 10n11 (May 10, 2001): 1684–702. http://dx.doi.org/10.1142/s0217979201006203.

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The ground-state properties of superfluid nuclear systems with 1S0 pairing are studied within a local energy-density functional (LEDF) approach. A new form of the LEDF is proposed with a volume part which fits the Friedman-Pandharipande and Wiringa-Fiks-Fabrocini equation of state at low and moderate densities and allows an extrapolation to higher densities which preserves causality. For inhomogeneous systems, a surface term is added, with two free parameters, which has a fractional form like a Padé approximant containing the square of the density gradient in both the numerator and denominator. In addition to the direct and exchange Coulomb interaction energy, an effective density-dependent Coulomb-nuclear correlation term is included with one more free parameter. A three-parameter fit to the masses and radii of about 100 spherical nuclei has shown that the latter term gives a contribution of the same order of magnitude as the Nolen-Schiffer anomaly in the Coulomb displacement energy. The root-mean-square deviations from experimental masses and radii with the proposed LEDF come out about a factor of two smaller than those obtained with the conventional functionals based on the Skyrme or finite-range Gogny force, or on relativistic mean-field theory. The generalized variational principle is formulated leading to the self-consistent Gor'kov equations which are sovled exactly, with physical boundary conditions both for the bound and scattering states. The method is used to calculate the differential observables such as odd-even mass differences and staggering in charge radii. With a zero-range density-dependent cutoff pairing interaction incorporating a density-gradient term, the evolution of these observables is reproduced reasonably well, including the kinks at magic neutron numbers and the sizes of the associated staggering. An extrapolation from the pairing properties of finite nuclei to pairing in infinite nuclear matter is discussed. A "reference" value of the pairing gap ΔF≈ 3.3 MeV is found for subsaturated nuclear matter at about 0.65 of the equilibrium density. With the formulated LEDF approach, we study also the dilute limit in both the weak and strong coupling regimes. Within the sum rules approach it is shown that the density-dependent pairing may also induce sizeable staggering and kinks in the evolution of the mean energies of multipole excitations.

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31

Furnstahl, R. J., and James C. Hackworth. "Skyrme energy functional and naturalness." Physical Review C 56, no. 5 (November 1, 1997): 2875–78. http://dx.doi.org/10.1103/physrevc.56.2875.

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32

RASHDAN, M. "A SKYRME PARAMETRIZATION BASED ON NUCLEAR MATTER BHF CALCULATIONS." Modern Physics Letters A 15, no. 20 (June 28, 2000): 1287–99. http://dx.doi.org/10.1142/s0217732300001663.

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Using a modified energy density functional of nuclear matter derived by solving the Bethe–Goldstone equation with a realistic nucleon–nucleon interaction and by including corrections due to relativistic and three-body effects, an effective Skyrme parameter set is derived. These corrections are found to be important in order to well describe the saturation properties of nuclear matter. The obtained Skyrme parameter set, which we denoted by SKRA, is found to better account for nuclear correlations and satisfactory describes finite nuclei, when used in the Skyrme–Hartree–Fock theory. The SKRA interaction can also be considered as an important step toward removing the ambiguities in the determination of Skyrme parameters.

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MEI, H., Z. P. LI, J. M. YAO, and K. HAGINO. "IMPURITY EFFECT OF Λ HYPERON ON SHAPE-COEXISTENCE NUCLEUS 44S IN THE ENERGY FUNCTIONAL BASED COLLECTIVE HAMILTONIAN." International Journal of Modern Physics E 21, no. 05 (May 2012): 1250024. http://dx.doi.org/10.1142/s0218301312500243.

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The nonrelativistic Skyrme energy density functional (EDF) based collective Hamiltonian, that takes into account dynamical correlations related to the restoration of broken symmetries and fluctuations of quadrupole collective variables, is applied to quantitatively study the impurity effect of Λ hyperon on the collectivity of 44 S . Several Skyrme forces for both the nucleon–nucleon (NN) and Λ-nucleon (ΛN) interactions are used. The influence of pairing strengths on the polarization effect of Λ hyperon is also examined. It is found that although these Skyrme forces with different pairing strengths give somewhat different low-lying spectra for 44 S , all of them give similar and generally small size of Λ reduction effect (within 5%) on the collective properties.

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NESTERENKO, V. O., J. KVASIL, P. VESELY, W. KLEINIG, and P. G. REINHARD. "SKYRME-RANDOM-PHASE-APPROXIMATION DESCRIPTION OF SPIN-FLIP AND ORBITAL M1 GIANT RESONANCES." International Journal of Modern Physics E 19, no. 04 (April 2010): 558–67. http://dx.doi.org/10.1142/s0218301310014972.

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The self-consistent separable random-phase approximation (SRPA) with Skyrme forces is extended to the case of magnetic excitations and applied to the description of spin-flip and orbital M1 giant resonances in the isotopic chain 142-152 Nd . The Skyrme forces SkT6, SkM*, SLy6 and SkI3 are used. The calculations show an onset of the scissors mode with increasing deformation. A specific three-peak structure of the spin-flip response is found and explained by particular neutron and proton spin-flip transitions. Although the employed forces provide an acceptable qualitative description, the Skyrme functional still needs further improvement to reproduce quantitatively the experiment for spin modes.

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35

Yoshida, Kenichi, Nobuo Hinohara, and Takashi Nakatsukasa. "Skyrme energy-density functional approach to collective dynamics." Journal of Physics: Conference Series 321 (September 16, 2011): 012017. http://dx.doi.org/10.1088/1742-6596/321/1/012017.

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36

ZALEWSKI, M., and W. SATUŁA. "TERMINATING STATES AS A UNIQUE LABORATORY FOR TESTING NUCLEAR ENERGY DENSITY FUNCTIONAL." International Journal of Modern Physics E 16, no. 02 (February 2007): 386–95. http://dx.doi.org/10.1142/s0218301307005818.

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Systematic calculations of favored signature maximum-spin Imax and unfavored signature Imax - 1 terminating states for [Formula: see text] and [Formula: see text] configurations (n denotes number of valence particles) in A~44 mass region are presented. Following the result of Zduńczuk et al., Phys. Rev. C58 (2005) 024305 the calculations are performed using Skyrme energy density functional with empirical Landau parameters and slightly reduced spin-orbit strength. The aim is to identify and phenomenologically restore rotational symmetry broken by the Skyrme-Hartree-Fock solutions. In particular, it is shown that correlation energy due to symmetry restoration is absolutely crucial in order to reproduce energy splitting E(Imax) - E(Imax - 1) in [Formula: see text] configurations but is relatively less important for [Formula: see text] configurations.

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37

NESTERENKO, V. O., W. KLEINIG, J. KVASIL, P. VESELY, and P. G. REINHARD. "TDDFT WITH SKYRME FORCES: EFFECT OF TIME-ODD DENSITIES ON ELECTRIC GIANT RESONANCES." International Journal of Modern Physics E 17, no. 01 (January 2008): 89–99. http://dx.doi.org/10.1142/s0218301308009586.

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Time-odd densities and their effect on electric giant resonances are investigated within the self-consistent separable random-phase-approximation (SRPA) for a variety of Skyrme forces (SkT6, SkO, SkM*, SIII, SGII, SLy4, SLy6, SkI3). Time-odd densities are essential for maintaining the Galilean invariance of the Skyrme functional. Their contribution is determined by the values and signs of the isovector and isoscalar effective-mass parameters of the force. In even-even nuclei these densities are not active in the ground state but can affect the dynamics. As a particular case, we explore the role of the current density in the description of isovector E1 and isoscalar E2 giant resonances in a chain of spherical and deformed Nd isotopes with A=134-158. The relation of the current to the effective masses and relevant parameters of the Skyrme functional is analyzed. It is shown that the current contributes substantially to E1 and E2 and the contribution is the same for all the isotopes along the chain, i.e. for both standard and exotic nuclei.

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Alzubadi, Ali A. "Investigation of the nuclear structure of 84-108Mo isotopes using Skyrme-Hartree-Fock method." Iraqi Journal of Physics (IJP) 13, no. 26 (February 10, 2019): 1–11. http://dx.doi.org/10.30723/ijp.v13i26.278.

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Over the last few decades the mean field approach using selfconsistentHaretree-Fock (HF) calculations with Skyrme effectiveinteractions have been found very satisfactory in reproducingnuclear properties for both stable and unstable nuclei. They arebased on effective energy-density functional, often formulated interms of effective density-dependent nucleon–nucleon interactions.In the present research, the SkM, SkM*, SI, SIII, SIV, T3, SLy4,Skxs15, Skxs20 and Skxs25 Skyrme parameterizations have beenused within HF method to investigate some static and dynamicnuclear ground state proprieties of 84-108Mo isotopes. In particular,the binding energy, proton, neutron, mass and charge densities andcorresponding root mean square radius, neutron skin thickness andcharge form factor are calculated by using this method with theSkyrme parameterizations mentioned above. The calculated resultsare compared with the available experimental data. Calculationsshow that the Skyrme–Hartree–Fock (SHF) theory with aboveforce parameters provides a good description on Mo isotopes.

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39

STASZCZAK, A., J. DOBACZEWSKI, and W. NAZAREWICZ. "PAIRING PROPERTIES OF SUPERHEAVY NUCLEI." International Journal of Modern Physics E 16, no. 02 (February 2007): 310–19. http://dx.doi.org/10.1142/s0218301307005740.

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Pairing properties of even-even superheavy N = 184 isotones are studied within the Skyrme-Hartree-Fock+BCS approach. In the particle-hole channel we take the Skyrme energy density functional SLy4, while in the particle-particle channel we employ the seniority pairing force and zero-range δ-interactions with different forms of density dependence. We conclude that the calculated static fission trajectories weakly depend on the specific form of the δ-pairing interaction. We also investigate the impact of triaxiality on the inner fission barrier and find a rather strong Z dependence of the effect.

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40

NESTERENKO, V. O., W. KLEINIG, J. KVASIL, P. VESELY, and P. G. REINHARD. "GIANT DIPOLE RESONANCE IN DEFORMED NUCLEI: DEPENDENCE ON SKYRME FORCES." International Journal of Modern Physics E 16, no. 02 (February 2007): 624–33. http://dx.doi.org/10.1142/s0218301307006071.

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The giant dipole resonance (GDR) in deformed nuclei is analyzed using the self-consistent separable random-phase-approximation (SRPA) with Skyrme forces SkT6, SkM*, SLy6 and SkI3. The deformed nuclei 150 Nd and 238 U are used as representative rare-earth and actinide samples. Dependences of the dipole strength distributions on some basic characteristics of the Skyrme functional and nuclear matter properties (isoscalar and isovector effective masses, time-odd contributions) are discussed. Particular attention is paid to the fragmentation structure of the GDR strength which is shown to depend sensitively to spin-orbit intruder states with large angular momentum.

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41

HASNAOUI, K. H. O., PH CHOMAZ, and F. GULMINELLI. "FERMIONIC MOLECULAR DYNAMICS FOR NUCLEAR DYNAMICS AND THERMODYNAMICS." International Journal of Modern Physics E 18, no. 10 (November 2009): 2061–65. http://dx.doi.org/10.1142/s0218301309014299.

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A new Fermionic Molecular Dynamics (FMD) model based on a Skyrme functional is proposed in this paper. After introducing the basic formalism, some first applications to nuclear structure and nuclear thermodynamics are presented.

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42

Nhan Hao, T. V., N. Nhu Le, Meng-Hock Koh, N. Quang Hung, N. Ngoc Duy, Vinh N. T. Pham, and N. Hoang Tung. "Microscopic optical potential obtained from energy-density-functional approach for neutron–nucleus elastic scattering." International Journal of Modern Physics E 27, no. 06 (June 2018): 1850052. http://dx.doi.org/10.1142/s0218301318500520.

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Nucleon–nucleus (NA) optical potentials are microscopically generated from a fully self-consistent framework of the particle-vibration coupling (PVC), in which the nucleon–nucleon (NN) effective interaction of the Skyrme type is consistently used to describe the Hartree–Fock (HF) mean-field, the small amplitude collective motions of the target, and the particle-collective states coupling. For the first time, a systematic calculation of low-energy NA elastic scattering off a series of doubly closed-shell nuclei is carried out without ad hoc adjusted parameters. Angular distributions obtained using the present optical potentials are in good agreement with the experimental data. This will be a major step forward in the applications of the Skyrme energy-density-functional theory to build up the global microscopic optical potentials, which are expected to be a powerful tool for the study of unstable (exotic) nuclei at low-incident nucleon energies.

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43

Nakatsukasa, Takashi. "Self-consistent energy density functional approaches to the crust of neutron stars." EPJ Web of Conferences 260 (2022): 11041. http://dx.doi.org/10.1051/epjconf/202226011041.

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In order to study structure of the crust in neutron stars, we develop a finite-temperature Skyrme-Hartree-Fock method in the full three-dimensional coordinate space using the Fermion operator expansion method. It provides us with a possible order-N approach to non-uniform neutron-star matters.

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ZBERECKI, K., P. MAGIERSKI, P. H. HEENEN, and N. SCHUNCK. "QUANTUM FLUCTUATIONS AND STABILITY OF TETRAHEDRAL DEFORMATIONS IN ATOMIC NUCLEI." International Journal of Modern Physics E 16, no. 02 (February 2007): 533–40. http://dx.doi.org/10.1142/s021830130700596x.

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The possible existence of stable axial octupole and tetrahedral deformations is investigated in 80 Zr and 98 Zr . HFBCS calculations with parity projection have been performed for various parametrizations of the Skyrme energy functional. The correlation and excitation energies of negative parity states associated with shape fluctuations have been obtained using the generator coordinate method (GCM). The results indicate that in these nuclei both the axial octupole and tetrahedral deformations are of dynamic character and possess similar characteristics. Various Skyrme forces give consistent results as a function of these two octupole degrees of freedom both at the mean-field level as well as for configuration mixing calculations.

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45

GIL*, Hana, Yongseok OH, Chang Ho HYUN, and Panagiota PAPAKONSTANTINOU. "Skyrme-Type Nuclear Force for the KIDS Energy Density Functional." New Physics: Sae Mulli 67, no. 4 (April 28, 2017): 456–61. http://dx.doi.org/10.3938/npsm.67.456.

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46

Wang, Ning, Min Liu, and YongXu Yang. "Heavy-ion fusion and scattering with Skyrme energy density functional." Science in China Series G: Physics, Mechanics and Astronomy 52, no. 10 (September 15, 2009): 1554–73. http://dx.doi.org/10.1007/s11433-009-0205-z.

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47

Rashdan, M., and T. A. Abdel-Karim. "Microscopic description of the fusion excitation function of 32,36S+90,94,96Zr." International Journal of Modern Physics E 29, no. 07 (July 2020): 2050046. http://dx.doi.org/10.1142/s0218301320500469.

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The fusion excitation function for the systems [Formula: see text]S+[Formula: see text]Zr is investigated using a microscopic internuclear potential derived from Skyrme energy density functional. The inputs in this approach are the proton and neutron density distributions of the interacting nuclei, which are derived from Skyrme–Hartree–Fock calculations. The SkM[Formula: see text] interaction is used in the calculation of the nuclear densities as well as the internuclear potential. The coupling to low lying inelastic excited states of target and projectile is considered. The role of the neutron transfer is discussed, where it is considered through the CCFULL model calculation. A good agreement with the experimental data is obtained without adjustable parameters.

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48

BARAN, A., J. A. SHEIKH, and W. NAZAREWICZ. "ADIABATIC MASS PARAMETERS FOR SPONTANEUS FISSION." International Journal of Modern Physics E 18, no. 04 (April 2009): 1054–57. http://dx.doi.org/10.1142/s0218301309013233.

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The collective mass tensor derived from the adiabatic time-dependent Hartree-Fock-Bogoliubov theory, perturbative cranking approximation, and the Gaussian overlap approximation to the generator coordinate method is discussed. Illustrative calculations are carried out for 252 Fm using the nuclear density functional theory with Skyrme interaction SkM* and seniority pairing.

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49

Shen, Shihang, Gianluca Colò, and Xavier Roca-Maza. "Evolution of nuclear spin-orbit splittings with Skyrme functional SAMi-T." EPJ Web of Conferences 223 (2019): 01059. http://dx.doi.org/10.1051/epjconf/201922301059.

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A new Skyrme functional has been developed with tensor term guided by ab initio relativistic Brueckner-Hartree-Fock (RBHF) studies on neutron-proton drops. Instead of extracting information on the tensor force from experimental single-particle energy splittings, the RBHF calculations do not contain beyond mean-field effects such as particle-vibration coupling and therefore the information on the tensor force can be obtained without ambiguities. The new functional gives a good description of nuclear ground-state properties aswell as various giant resonances. The description for the evolution of single-particle energy splittings is also improved by the new functional.

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50

AVEZ, B., C. SIMENEL, and Ph CHOMAZ. "PAIRING VIBRATIONS STUDY FROM TIME-DEPENDENT HARTREE-FOCK-BOGOLIUBOV FORMALISM." International Journal of Modern Physics E 18, no. 10 (November 2009): 2103–7. http://dx.doi.org/10.1142/s0218301309014378.

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We study pairing vibrations in 18,20,22 O and 42,44,46 Ca nuclei solving the time-dependent Hartree-Fock-Bogoliubov equation in coordinate space with spherical symmetry. We use the SLy4 Skyrme functional in the particle-hole part of the energy density functional and a local, density-dependent pairing functional in its particle-particle (hole-hole) part. Pairing vibrations are excited by a two-neutrons transfer operator. The Fourier analysis of the time-dependent response of the expectation value of this operator in the linear regime is used to extract strength functions. The presence of the giant pairing vibration is discussed.

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