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Journal articles on the topic 'Relativistic mean field'

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Published: 25 January 2025

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1

Afanasjev, A. V. "Superdeformations in Relativistic and Non-Relativistic Mean Field Theories." Physica Scripta T88, no. 1 (2000): 10. http://dx.doi.org/10.1238/physica.topical.088a00010.

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2

Wang, S. J., and W. Cassing. "Extended relativistic mean field theory and relativistic transport equations." Nuclear Physics A 495, no. 1-2 (April 1989): 371–80. http://dx.doi.org/10.1016/0375-9474(89)90334-5.

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3

Rego, R. A. "Mean free path in the relativistic mean field." Physical Review C 44, no. 5 (November 1, 1991): 1944–46. http://dx.doi.org/10.1103/physrevc.44.1944.

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4

ROTA NODARI, SIMONA. "THE RELATIVISTIC MEAN-FIELD EQUATIONS OF THE ATOMIC NUCLEUS." Reviews in Mathematical Physics 24, no. 04 (May 2012): 1250008. http://dx.doi.org/10.1142/s0129055x12500080.

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In nuclear physics, the relativistic mean-field theory describes the nucleus as a system of Dirac nucleons which interact via meson fields. In a static case and without nonlinear self-coupling of the σ meson, the relativistic mean-field equations become a system of Dirac equations where the potential is given by the meson and photon fields. The aim of this work is to prove the existence of solutions of these equations. We consider a minimization problem with constraints that involve negative spectral projectors and we apply the concentration-compactness lemma to find a minimizer of this problem. We show that this minimizer is a solution of the relativistic mean-field equations considered.
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5

Del Zanna , Luca, Niccolò Tomei, Kevin Franceschetti, Matteo Bugli, and Niccolò Bucciantini. "General Relativistic Magnetohydrodynamics Mean-Field Dynamos." Fluids 7, no. 2 (February 21, 2022): 87. http://dx.doi.org/10.3390/fluids7020087.

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Large-scale, ordered magnetic fields in several astrophysical sources are supposed to be originated, and maintained against dissipation, by the combined amplifying action of rotation and small-scale turbulence. For instance, in the solar interior, the so-called α−Ω mean-field dynamo is known to be responsible for the observed 22-years magnetic cycle. Similar mechanisms could operate in more extreme environments, like proto neutron stars and accretion disks around black holes, for which the physical modelling needs to be translated from the regime of magnetohydrodynamics (MHD) and Newtonian gravity to that of a plasma in a general relativistic curved spacetime (GRMHD). Here we review the theory behind the mean field dynamo in GRMHD, the strategies for the implementation of the relevant equations in numerical conservative schemes, and we show the most important applications to the mentioned astrophysical compact objects obtained by our group in Florence. We also present novel results, such as three-dimensional GRMHD simulations of accretion disks with dynamo and the application of our dynamo model to a super massive neutron star, remnant of a binary neutron star merger as obtained from full numerical relativity simulations.
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6

Diakonov, Dmitri. "Relativistic mean field approximation to baryons." European Physical Journal A 24, S1 (February 2005): 3–8. http://dx.doi.org/10.1140/epjad/s2005-05-001-3.

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7

WARRIER, LATHA S., J. P. MAHARANA, and Y. K. GAMBHIR. "ALPHA STAGGERING: RELATIVISTIC MEAN FIELD DESCRIPTION." Modern Physics Letters A 09, no. 26 (August 30, 1994): 2371–80. http://dx.doi.org/10.1142/s0217732394002240.

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The α-staggering for the nuclei in the 2p−1f region is investigated in the relativistic mean field approach. The observed behavior similar to the well known odd-even staggering is well reproduced. The decomposition of densities for these nuclei shows almost identical characteristics beyond the rms radii indicating that the alpha cluster, if exists, is confined to the surface, as expected.
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8

Gambhir, Y. K., and A. Bhagwat. "Relativistic mean field for nuclear periphery." Nuclear Physics A 722 (July 2003): C354—C359. http://dx.doi.org/10.1016/s0375-9474(03)01389-7.

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9

Fogaça, D. A., and F. S. Navarra. "Solitons in relativistic mean field models." Physics Letters B 639, no. 6 (August 2006): 629–34. http://dx.doi.org/10.1016/j.physletb.2006.07.002.

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10

BARRIOS, S. CRUZ, and M. C. NEMES. "ANATOMY OF RELATIVISTIC MEAN-FIELD APPROXIMATIONS." Modern Physics Letters A 07, no. 21 (July 10, 1992): 1915–21. http://dx.doi.org/10.1142/s0217732392001622.

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In the present work we have set up a scheme to treat field theoretical Lagrangians in the same bases of the well known non-relativistic many-body techniques. We show here that fermions and bosons can be treated quantum mechanically in a symmetric way and obtain results for the mean field approximation.
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11

Bodmer, A. R., and C. E. Price. "Relativistic mean field theory for nuclei." Nuclear Physics A 505, no. 1 (December 1989): 123–44. http://dx.doi.org/10.1016/0375-9474(89)90419-3.

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12

Mareš, J., and B. K. Jennings. "Relativistic mean field theory and hypernuclei." Nuclear Physics A 585, no. 1-2 (March 1995): 347–48. http://dx.doi.org/10.1016/0375-9474(94)00600-r.

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13

Yan-Song, Li, and Long Gui-Lu. "Relativistic Consistent Angular-Momentum Projected Shell-Model: Relativistic Mean Field." Communications in Theoretical Physics 41, no. 3 (March 15, 2004): 429–34. http://dx.doi.org/10.1088/0253-6102/41/3/429.

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14

Jiang, W. Z., Z. Z. Ren, T. T. Wang, Y. L. Zhao, and Z. Y. Zhu. "Relativistic mean-field study for Zn isotopes." European Physical Journal A 25, no. 1 (June 6, 2005): 29–39. http://dx.doi.org/10.1140/epja/i2004-10235-1.

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15

Pannert, W., P. Ring, and J. Boguta. "Relativistic Mean-Field Theory and Nuclear Deformation." Physical Review Letters 59, no. 21 (November 23, 1987): 2420–22. http://dx.doi.org/10.1103/physrevlett.59.2420.

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16

Yao-song, Shen, and Ren Zhong-zhou. "Relativistic mean-field approaches for light hypernuclei." Acta Physica Sinica (Overseas Edition) 7, no. 4 (April 1998): 258–70. http://dx.doi.org/10.1088/1004-423x/7/4/003.

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17

Meng, J., K. Sugawara-Tanabe, S. Yamaji, P. Ring, and A. Arima. "Pseudospin symmetry in relativistic mean field theory." Physical Review C 58, no. 2 (August 1, 1998): R628—R631. http://dx.doi.org/10.1103/physrevc.58.r628.

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18

Afanasjev, A. V. "Superheavy nuclei: a relativistic mean field outlook." Physica Scripta T125 (June 28, 2006): 62–67. http://dx.doi.org/10.1088/0031-8949/2006/t125/014.

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19

SULAKSONO, A., KASMUDIN, T. J. BÜRVENICH, P. G. REINHARD, and J. A. MARUHN. "INSTABILITIES CONSTRAINT AND RELATIVISTIC MEAN FIELD PARAMETRIZATION." International Journal of Modern Physics E 20, no. 01 (January 2011): 81–100. http://dx.doi.org/10.1142/s021830131101734x.

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Two parameter sets (Set 1 and Set 2) of the standard relativistic mean field (RMF) model plus additional vector isoscalar nonlinear term, which are constrained by a set of criteria20 determined by symmetric nuclear matter stabilities at high densities due to longitudinal and transversal particle–hole excitation modes are investigated. In the latter parameter set, δ meson and isoscalar as well as isovector tensor contributions are included. The effects in selected finite nuclei and nuclear matter properties predicted by both parameter sets are systematically studied and compared with the ones predicted by well-known RMF parameter sets. The vector isoscalar nonlinear term addition and instability constraints have reasonably good effects in the high-density properties of the isoscalar sector of nuclear matter and certain finite nuclei properties. However, even though the δ meson and isovector tensor are included, the incompatibility with the constraints from some experimental data in certain nuclear properties at saturation point and the excessive stiffness of the isovector nuclear matter equation of state at high densities as well as the incorrect isotonic trend in binding the energies of finite nuclei are still encountered. It is shown that the problem may be remedied if we introduce additional nonlinear terms not only in the isovector but also in the isoscalar vectors.
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20

Gambhir, Y. K., and A. Bhagwat. "Relativistic mean field and some recent applications." Physics of Particles and Nuclei 37, no. 2 (March 2006): 194–239. http://dx.doi.org/10.1134/s106377960602002x.

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21

Furnstahl, R. J., and Brian D. Serot. "Parameter counting in relativistic mean-field models." Nuclear Physics A 671, no. 1-4 (May 2000): 447–60. http://dx.doi.org/10.1016/s0375-9474(99)00839-8.

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22

Gambhir, Y. K., and C. S. Warke. "Nuclear magnetic moment: Relativistic mean field description." Pramana 53, no. 2 (August 1999): 279–88. http://dx.doi.org/10.1007/s12043-999-0128-2.

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23

Ring, P. "Relativistic mean field theory in finite nuclei." Progress in Particle and Nuclear Physics 37 (January 1996): 193–263. http://dx.doi.org/10.1016/0146-6410(96)00054-3.

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24

Gambhir, Y. K., P. Ring, and A. Thimet. "Relativistic mean field theory for finite nuclei." Annals of Physics 198, no. 1 (February 1990): 132–79. http://dx.doi.org/10.1016/0003-4916(90)90330-q.

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25

Ren, Zhongzhou, Z. Y. Zhu, Y. H. Cai, and Gongou Xu. "Relativistic mean-field study of Mg isotopes." Physics Letters B 380, no. 3-4 (July 1996): 241–46. http://dx.doi.org/10.1016/0370-2693(96)00462-5.

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26

Patra, S. K. "Relativistic mean field study of light nuclei." Nuclear Physics A 559, no. 2 (June 1993): 173–92. http://dx.doi.org/10.1016/0375-9474(93)90185-z.

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27

Gambhir, Y. K. "Relativistic Mean Field description of exotic nuclei." Nuclear Physics A 570, no. 1-2 (March 1994): 101–8. http://dx.doi.org/10.1016/0375-9474(94)90273-9.

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28

Thies, M. "On the relation between relativistic and non-relativistic mean-field theories." Physics Letters B 166, no. 1 (January 1986): 23–26. http://dx.doi.org/10.1016/0370-2693(86)91147-0.

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29

Wang, Q. L., L. Dang, X. H. Zhong, C. Y. Song, and P. Z. Ning. "The hyperon mean free paths in the relativistic mean field." Europhysics Letters (EPL) 75, no. 1 (July 2006): 36–41. http://dx.doi.org/10.1209/epl/i2006-10083-y.

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30

BARAN, A., and P. MIERZYŃSKI. "NUCLEAR PERIPHERY IN MEAN-FIELD MODELS." International Journal of Modern Physics E 13, no. 01 (February 2004): 337–41. http://dx.doi.org/10.1142/s0218301304002156.

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The halo factor is one of the experimental data which describes a distribution of neutrons in the nuclear periphery. In the presented paper we use Skyrme-Hartree (SH) and the Relativistic Mean Field (RMF) models to calculate the neutron excess factor ΔB which differs slightly from the halo factor f exp . The results of the calculations are compared to the measured data.
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31

Nishiyama, Seiya. "Resonating Relativistic Mean Field Theory of Finite Nuclei." International Journal of Modern Physics E 07, no. 05 (October 1998): 601–24. http://dx.doi.org/10.1142/s0218301398000348.

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We develop a general theory based on relativistic fields to describe finite nuclei with large quantum fluctuations. The theory is a direct extension of the resonating Hartree-Fock (HF) and resonating Hartree-Bogoliubov (HB) theories to the relativistic mean field case including an effective nucleon mass and an effective potential mediated by mesons. We start from the Walecka model and construct coherent state representations of a system of nucleons described by Dirac spinors and of mesons described in terms of bosons. A state with large quantum fluctuations is approximated by superpositions of non-orthogonal nucleon and meson wave functions with different correlation structures. We derive the variational equations to determine the two kinds of coefficients of fermionic and bosonic configuration mixings and the two kinds of fermionic and bosonic orbitals in the resonating nucleon and meson wave functions.
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32

Sugimoto, Satoru, Kiyomi Ikeda, and Hiroshi Toki. "Relativistic Mean Field Theory with Pion Field for Finite Nuclei." Progress of Theoretical Physics Supplement 146 (2002): 437–41. http://dx.doi.org/10.1143/ptps.146.437.

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33

Moreno-Torres, M., M. Grasso, H. Liang, V. De Donno, M. Anguiano, and N. Van Giai. "Tensor effects in shell evolution using non-relativistic and relativistic mean field." Journal of Physics: Conference Series 267 (January 1, 2011): 012039. http://dx.doi.org/10.1088/1742-6596/267/1/012039.

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34

Gmuca, Stefan. "Halo nuclei studied by relativistic mean-field approach." Acta Physica Hungarica A) Heavy Ion Physics 6, no. 1-4 (October 1997): 99–102. http://dx.doi.org/10.1007/bf03158486.

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35

Manka, R., M. Zastawny-Kubica, A. Brzezina, and I. Bednarek. "Protoneutron star in the relativistic mean-field theory." Journal of Physics G: Nuclear and Particle Physics 27, no. 9 (August 3, 2001): 1917–38. http://dx.doi.org/10.1088/0954-3899/27/9/304.

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36

Yanjun, Chen, and Guo Hua. "Quasielastic electron scattering in relativistic mean-field theory." European Physical Journal A 24, no. 2 (April 19, 2005): 211–16. http://dx.doi.org/10.1140/epja/i2004-10141-6.

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37

Lü, H. F., L. S. Geng, and J. Meng. "Constrained relativistic mean-field approach with fixed configurations." European Physical Journal A 31, no. 3 (February 28, 2007): 273–78. http://dx.doi.org/10.1140/epja/i2006-10224-4.

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38

Ang, Li, Zuo Wei, Mi Ai-Jun, and G. Burgio. "Hyperon–hyperon interaction in relativistic mean field model." Chinese Physics 16, no. 7 (July 2007): 1934–40. http://dx.doi.org/10.1088/1009-1963/16/7/021.

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39

Sheikh, J. A., and P. Ring. "Exotic nuclei in a relativistic mean-field approach." Physical Review C 47, no. 5 (May 1, 1993): R1850—R1853. http://dx.doi.org/10.1103/physrevc.47.r1850.

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40

Gervino, G., A. Lavagno, and D. Pigato. "Nonlinear statistical effects in relativistic mean field theory." Journal of Physics: Conference Series 306 (July 8, 2011): 012070. http://dx.doi.org/10.1088/1742-6596/306/1/012070.

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41

Madokoro, Hideki, and Masayuki Matsuzaki. "General relativistic mean field theory for rotating nuclei." Physical Review C 56, no. 6 (December 1, 1997): R2934—R2937. http://dx.doi.org/10.1103/physrevc.56.r2934.

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42

Delfino, A., Lizardo H. C. M. Nunes, and J. S. Sá Martins. "Dimensional effects in a relativistic mean-field approach." Physical Review C 57, no. 2 (February 1, 1998): 857–65. http://dx.doi.org/10.1103/physrevc.57.857.

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43

Lalazissis, G. A., Y. K. Gambhir, J. P. Maharana, C. S. Warke, and P. Ring. "Relativistic mean field approach and the pseudospin symmetry." Physical Review C 58, no. 1 (July 1, 1998): R45—R48. http://dx.doi.org/10.1103/physrevc.58.r45.

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44

Vretenar, D., T. Nikšić, N. Paar, and P. Ring. "Exotic nuclear structure: Relativistic mean-field and beyond." European Physical Journal Special Topics 150, no. 1 (November 2007): 193–96. http://dx.doi.org/10.1140/epjst/e2007-00302-9.

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45

Serra, M., T. Otsuka, Y. Akaishi, P. Ring, and S. Hirose. "Relativistic Mean Field Models and Nucleon-Nucleon Interactions." Progress of Theoretical Physics 113, no. 5 (May 1, 2005): 1009–46. http://dx.doi.org/10.1143/ptp.113.1009.

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46

Shen, H., F. Yang, and H. Toki. "Double- Hypernuclei in the Relativistic Mean-Field Theory." Progress of Theoretical Physics 115, no. 2 (February 1, 2006): 325–35. http://dx.doi.org/10.1143/ptp.115.325.

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47

Ogawa, Y., H. Toki, S. Tamenaga, and A. Haga. "Relativistic Chiral Mean Field Model for Finite Nuclei." Progress of Theoretical Physics 122, no. 2 (August 1, 2009): 477–98. http://dx.doi.org/10.1143/ptp.122.477.

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48

Lourenço, O., M. Dutra, O. Hen, E. Piasetzky, and D. P. Menezes. "Consistent relativistic mean-field models: symmetry energy parameter." Journal of Physics: Conference Series 1291 (July 2019): 012043. http://dx.doi.org/10.1088/1742-6596/1291/1/012043.

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49

Song, C. Y., X. H. Zhong, L. Li, and P. Z. Ning. "η-mesic nuclei in relativistic mean-field theory." EPL (Europhysics Letters) 81, no. 4 (January 24, 2008): 42002. http://dx.doi.org/10.1209/0295-5075/81/42002.

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50

Li-Gang, Cao, and Ma Zhong-Yu. "Resonant Continuum in the Relativistic Mean-Field Theory." Communications in Theoretical Physics 38, no. 3 (September 15, 2002): 347–50. http://dx.doi.org/10.1088/0253-6102/38/3/347.

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