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Title: Relativistic Hartree-Fock-Bogoliubov theory with density dependent meson-nucleon couplings

Abstract

Relativistic Hartree-Fock-Bogoliubov (RHFB) theory with density-dependent meson-nucleon couplings is presented. The integrodifferential RHFB equations are solved by expanding the different components of the quasiparticle spinors in the complete set of eigensolutions of the Dirac equations with Woods-Saxon potentials. Using the finite-range Gogny force D1S as an effective interaction in the pairing channel, systematic RHFB calculations are performed for Sn isotopes and N=82 isotones. It is demonstrated that an appropriate description of both mean field and pairing effects can be obtained within RHFB theory with finite range Gogny pairing forces. Better systematics are also found in the regions from the stable to the neutron-rich side with the inclusion of Fock terms, especially in the presence of rho-tensor couplings.

Authors:
 [1];  [2];  [3];  [4]
  1. School of Nuclear Science and Technology, Lanzhou University, 730000 Lanzhou (China)
  2. Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching (Germany)
  3. CNRS-IN2P3, UMR 8608, F-91406 Orsay Cedex (France)
  4. School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, 100871 Beijing (China)
Publication Date:
OSTI Identifier:
21386590
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 81; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevC.81.024308; (c) 2010 The American Physical Society; Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; COUPLINGS; DENSITY; DIRAC EQUATION; HARTREE-FOCK-BOGOLYUBOV THEORY; INCLUSIONS; INTERACTIONS; ISOTONIC NUCLEI; MATHEMATICAL SOLUTIONS; MEAN-FIELD THEORY; MESON-NUCLEON INTERACTIONS; MESONS; NEUTRONS; RELATIVISTIC RANGE; TIN ISOTOPES; WOODS-SAXON POTENTIAL; BARYONS; BOSONS; DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; ENERGY RANGE; EQUATIONS; FERMIONS; FIELD EQUATIONS; HADRON-HADRON INTERACTIONS; HADRONS; ISOTOPES; MESON-BARYON INTERACTIONS; NUCLEAR POTENTIAL; NUCLEI; NUCLEONS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE INTERACTIONS; PHYSICAL PROPERTIES; POTENTIALS; WAVE EQUATIONS

Citation Formats

Wenhui, Long, Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching, School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, 100871 Beijing, Ring, Peter, Giai, Nguyen Van, Universite Paris-Sud, F-91405 Orsay, and Jie, Meng. Relativistic Hartree-Fock-Bogoliubov theory with density dependent meson-nucleon couplings. United States: N. p., 2010. Web. doi:10.1103/PHYSREVC.81.024308.
Wenhui, Long, Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching, School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, 100871 Beijing, Ring, Peter, Giai, Nguyen Van, Universite Paris-Sud, F-91405 Orsay, & Jie, Meng. Relativistic Hartree-Fock-Bogoliubov theory with density dependent meson-nucleon couplings. United States. https://doi.org/10.1103/PHYSREVC.81.024308
Wenhui, Long, Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching, School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, 100871 Beijing, Ring, Peter, Giai, Nguyen Van, Universite Paris-Sud, F-91405 Orsay, and Jie, Meng. 2010. "Relativistic Hartree-Fock-Bogoliubov theory with density dependent meson-nucleon couplings". United States. https://doi.org/10.1103/PHYSREVC.81.024308.
@article{osti_21386590,
title = {Relativistic Hartree-Fock-Bogoliubov theory with density dependent meson-nucleon couplings},
author = {Wenhui, Long and Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching and School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, 100871 Beijing and Ring, Peter and Giai, Nguyen Van and Universite Paris-Sud, F-91405 Orsay and Jie, Meng},
abstractNote = {Relativistic Hartree-Fock-Bogoliubov (RHFB) theory with density-dependent meson-nucleon couplings is presented. The integrodifferential RHFB equations are solved by expanding the different components of the quasiparticle spinors in the complete set of eigensolutions of the Dirac equations with Woods-Saxon potentials. Using the finite-range Gogny force D1S as an effective interaction in the pairing channel, systematic RHFB calculations are performed for Sn isotopes and N=82 isotones. It is demonstrated that an appropriate description of both mean field and pairing effects can be obtained within RHFB theory with finite range Gogny pairing forces. Better systematics are also found in the regions from the stable to the neutron-rich side with the inclusion of Fock terms, especially in the presence of rho-tensor couplings.},
doi = {10.1103/PHYSREVC.81.024308},
url = {https://www.osti.gov/biblio/21386590}, journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 2,
volume = 81,
place = {United States},
year = {Mon Feb 15 00:00:00 EST 2010},
month = {Mon Feb 15 00:00:00 EST 2010}
}