Academic literature on the topic 'BETHE-GOLDSTONE EQUATION'

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Journal articles on the topic "BETHE-GOLDSTONE EQUATION"

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TOGASHI, TOMOAKI, TAKAOMI MURAKAMI, and KIYOSHI KATŌ. "THE DESCRIPTION OF NUCLEAR STRUCTURES WITH THE BRUECKNER-AMD." International Journal of Modern Physics E 17, no. 10 (November 2008): 2081–86. http://dx.doi.org/10.1142/s0218301308011136.

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We propose a new approach of the Brueckner-AMD that makes the antisymmetrized molecular dynamics (AMD) calculations possible with realistic nuclear forces. In this method, we solve the Bethe-Goldstone equation and calculate the G-matrix for every nucleon pair described by wave packets of AMD. In addition, we calculate the G-matrix in the spin and parity projection correctly using the two-body correlation functions derived from the solutions of the Bethe-Goldstone equation. We report the results of applications to light nuclei with the Brueckner-AMD plus the spin and parity projection.
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Koinov, Zlatko, and Israel Chávez Villalpando. "Speed of the Goldstone Sound Mode of an Atomic Fermi Gas Loaded on a Square Optical Lattice with a Non-Abelian Gauge Field in the Presence of a Zeeman Field." Advances in Condensed Matter Physics 2018 (July 2, 2018): 1–11. http://dx.doi.org/10.1155/2018/6809265.

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The speed of the Goldstone sound mode of a spin-orbit-coupled atomic Fermi gas loaded in a square optical lattice with a non-Abelian gauge field in the presence of a Zeeman field is calculated within the Gaussian approximation and from the Bethe-Salpeter equation in the generalized random phase approximation. It is found that (i) there is no sharp change of the slope of the Goldstone sound mode across the topological quantum phase transition point and (ii) the Gaussian approximation significantly overestimates the speed of sound of the Goldstone mode compared to the value provided by the BS formalism.
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Sartor, R. "Solution of the Bethe-Goldstone equation with an exact propagator." Physical Review C 54, no. 2 (August 1, 1996): 809–14. http://dx.doi.org/10.1103/physrevc.54.809.

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Koinov, Z. G. "Collective Modes of an Ultracold6Li-40K Mixture in an Optical Lattice." Advances in Condensed Matter Physics 2015 (2015): 1–12. http://dx.doi.org/10.1155/2015/952852.

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A low-energy theory of the Nambu-Goldstone excitation spectrum and the corresponding speed of sound of an interacting Fermi mixture of Lithium-6 and Potassium-40 atoms in a two-dimensional optical lattice at finite temperatures with the Fulde-Ferrell order parameter has been formulated. It is assumed that the two-species interacting Fermi gas is described by the one-band Hubbard Hamiltonian with an attractive on-site interaction. The discussion is restricted to the BCS side of the Feshbach resonance where the Fermi atoms exhibit superfluidity. The quartic on-site interaction is decoupled via a Hubbard-Stratonovich transformation by introducing a four-component boson field which mediates the Hubbard interaction. A functional integral technique and a Legendre transform are used to give a systematic derivation of the Schwinger-Dyson equations for the generalized single-particle Green’s function and the Bethe-Salpeter equation for the two-particle Green’s function and the associated collective modes. The numerical solution of the Bethe-Salpeter equation in the generalized random phase approximation shows that there exist two distinct sound velocities in the long-wavelength limit. In addition to low-energy (Goldstone) mode, the two-species Fermi gas has a superfluid phase revealed by two roton-like minima in the asymmetric collective-mode energy.
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Lucha, Wolfgang, and Franz F. Schöberl. "Instantaneous Bethe–Salpeter view of Goldstone-type pseudoscalar mesons." International Journal of Modern Physics A 31, no. 36 (December 28, 2016): 1650202. http://dx.doi.org/10.1142/s0217751x1650202x.

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Describing the lightest pseudoscalar mesons as bound states of quark and antiquark within the framework of an instantaneous Bethe–Salpeter formalism constructed such as to retain (in contrast to Salpeter’s equation) as much information on the relativistic effects provided by the full quark propagator as conceivable allows for a surprisingly simple implementation of their near masslessness mandatory for their interpretability as pseudo-Goldstone bosons related to the spontaneous breaking of the chiral symmetries of quantum chromodynamics.
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CAHILL, REGINALD T., and SUSAN M. GUNNER. "A NEW MASS FORMULA FOR NG BOSONS IN QCD." Modern Physics Letters A 10, no. 39 (December 21, 1995): 3051–58. http://dx.doi.org/10.1142/s0217732395003185.

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An oftenly used mass formula for Nambu-Goldstone (NG) bosons in QCD, such as the pions, involves the condensate [Formula: see text], fπ and the quark current masses. We argue, within the context of the global color model to QCD, that this expression is wrong. Analysis of the interplay between the Dyson-Schwinger equation for the constituent quark effect and the Bethe-Salpeter equation for the NG boson results in a new mass formula.
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TOGASHI, TOMOAKI, KIYOSHI KATŌ, and TAKAOMI MURAKAMI. "CLUSTER STRUCTURE STUDY BASED ON REALISTIC NUCLEAR FORCE: BRUECKNER-AMD." International Journal of Modern Physics A 24, no. 11 (April 30, 2009): 2142–49. http://dx.doi.org/10.1142/s0217751x09045728.

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We propose a new approach of the Brueckner-AMD that makes the antisymmetrized molecular dynamics (AMD) calculations possible with realistic nuclear forces. In this method, we solve the Bethe-Goldstone equation and calculate the G-matrix for every nucleon pair described by wave packets of AMD correctly. We report the results of applications to light nuclei with the Brueckner-AMD.
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RASHDAN, M. "ELASTIC SCATTERING OF 28Si–27Al IN A REALISTIC OPTICAL POTENTIAL." International Journal of Modern Physics E 05, no. 03 (September 1996): 533–41. http://dx.doi.org/10.1142/s021830139600027x.

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Within a realistic model for the optical potential between nuclei based on the solution of the Bethe-Goldstone equation with the Reid soft-core potential, the differential cross-sections of the 28 Si –27 Al system, recently measured at energies around the Coulomb barrier, are calculated. The experimental data are well-reproduced over the entire energy range without any adjustable parameters to fit the cross-section.
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BALDO, M., and G. F. BURGIO. "THE BETHE–BRUECKNER–GOLDTONE THEORY OF THE NUCLEAR EQUATION OF STATE AND NEUTRON STARS." International Journal of Modern Physics B 17, no. 28 (November 10, 2003): 5127–37. http://dx.doi.org/10.1142/s0217979203020259.

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The microscopic many-body theory of the Nuclear Equation of State is discussed in the framework of the Bethe–Brueckner–Goldstone method. The expansion is extended up to the three hole-line diagrams contribution. The Brueckner equation for the two-body G-matrix and the Bethe–Fadeev equation for the three-body scattering matrix are solved both for the gap and continuous choices of the single particle potential. For symmetric and pure neutron matter strong evidence of convergence in the expansion is found. Once three-body forces are introduced, the phenomenological saturation point is reproduced. In order to study neutron stars static properties, the theory is extended to include strangeness, and the possible quark-gluon plasma component is described in the simplified MIT bag model. The results for the mass and radius of neutron stars are briefly discussed.
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Nuppenau, C., A. D. Mackellar, and Y. J. Lee. "Study of nucleon-nucleus scattering based on the relativistic Brueckner-Bethe-Goldstone equation." Nuclear Physics A 511, no. 3-4 (May 1990): 525–40. http://dx.doi.org/10.1016/0375-9474(90)90108-x.

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Dissertations / Theses on the topic "BETHE-GOLDSTONE EQUATION"

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Mennane, Lahcen. "Méthodes semi-classiques pour la résolution des équations du type Bethe-Goldstone." Grenoble 1, 1990. http://www.theses.fr/1990GRE10079.

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Le but principal de cette these est la resolution approximative des equations de type bethe-goldstone a l'aide des methodes semi-classiques. Deux methodes ont ete etudiees: 1) la theorie wkb qui, dans notre cas, a du etre generalisee pour des potentiels non locaux ne s'est pas averee tres fructueuse; 2) la deuxieme methode consiste a developper la partie imaginaire de la fonction de green autour de l'hamiltonien classique. Cette procedure a une forte parente avec la methode de thomas-fermi ou on developpe l'operateur de densite autour de l'hamiltonien classique. La force a deux corps utilisee contient deux termes separables ajustes a la partie centrale de la voie #3s#1-#3d#1 du potentiel reid soft core. Les resultats obtenus avec la deuxieme methode sont en tres bon accord avec les resultats exacts
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Controzzi, Davide. "Non perturbative aspects of strongly correlated electron systems." Thesis, University of Oxford, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.343661.

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Book chapters on the topic "BETHE-GOLDSTONE EQUATION"

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Nesbet, R. K. "Atomic Bethe-Goldstone Equations." In Advances in Chemical Physics, 1–34. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2007. http://dx.doi.org/10.1002/9780470143599.ch1.

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Conference papers on the topic "BETHE-GOLDSTONE EQUATION"

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BALDO, M., and G. F. BURGIO. "THE BETHE-BRUECKNER-GOLDSTONE THEORY OF THE NUCLEAR EQUATION OF STATE AND NEUTRON STARS." In Proceedings of the 11th International Conference. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777843_0021.

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