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Title: Covariant density functional theory: The role of the pion

Abstract

We investigate the role of the pion in covariant density functional theory. Starting from conventional relativistic mean field (RMF) theory with a nonlinear coupling of the {sigma} meson and without exchange terms we add pions with a pseudovector coupling to the nucleons in relativistic Hartree-Fock approximation. In order to take into account the change of the pion field in the nuclear medium the effective coupling constant of the pion is treated as a free parameter. It is found that the inclusion of the pion to this sort of density functionals does not destroy the overall description of the bulk properties by RMF. On the other hand, the noncentral contribution of the pion (tensor coupling) does have effects on single particle energies and on binding energies of certain nuclei.

Authors:
 [1];  [2];  [3];  [1];  [4];  [4];  [2];  [2];  [4];  [3]
  1. Department of Theoretical Physics, Aristotle University of Thessaloniki, GR-54124 (Greece)
  2. (Japan)
  3. (Germany)
  4. Department of Physics, University of Tokyo, Hongo, Bunkyo-ku, Tokyo, 113-0033 (Japan)
Publication Date:
OSTI Identifier:
21293901
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 80; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevC.80.041301; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; BINDING ENERGY; COUPLING CONSTANTS; DENSITY FUNCTIONAL METHOD; FUNCTIONALS; HARTREE-FOCK METHOD; MEAN-FIELD THEORY; NONLINEAR PROBLEMS; NUCLEI; NUCLEONS; PIONS; PSEUDOVECTOR COUPLING; RELATIVISTIC RANGE

Citation Formats

Lalazissis, G. A., Department of Physics, University of Tokyo, Hongo, Bunkyo-ku, Tokyo, 113-0033, Physikdepartment, Technische Universitaet Muenchen, D-85748 Garching, Karatzikos, S., Serra, M., Otsuka, T., Center for Nuclear Study, University of Tokyo, Hongo, Bunkyo-ku, Tokyo, 113-0033, RIKEN, Hirosawa, Wako-shi, Saitama 351-0198, Ring, P., and Physikdepartment, Technische Universitaet Muenchen, D-85748 Garching. Covariant density functional theory: The role of the pion. United States: N. p., 2009. Web. doi:10.1103/PHYSREVC.80.041301.
Lalazissis, G. A., Department of Physics, University of Tokyo, Hongo, Bunkyo-ku, Tokyo, 113-0033, Physikdepartment, Technische Universitaet Muenchen, D-85748 Garching, Karatzikos, S., Serra, M., Otsuka, T., Center for Nuclear Study, University of Tokyo, Hongo, Bunkyo-ku, Tokyo, 113-0033, RIKEN, Hirosawa, Wako-shi, Saitama 351-0198, Ring, P., & Physikdepartment, Technische Universitaet Muenchen, D-85748 Garching. Covariant density functional theory: The role of the pion. United States. doi:10.1103/PHYSREVC.80.041301.
Lalazissis, G. A., Department of Physics, University of Tokyo, Hongo, Bunkyo-ku, Tokyo, 113-0033, Physikdepartment, Technische Universitaet Muenchen, D-85748 Garching, Karatzikos, S., Serra, M., Otsuka, T., Center for Nuclear Study, University of Tokyo, Hongo, Bunkyo-ku, Tokyo, 113-0033, RIKEN, Hirosawa, Wako-shi, Saitama 351-0198, Ring, P., and Physikdepartment, Technische Universitaet Muenchen, D-85748 Garching. 2009. "Covariant density functional theory: The role of the pion". United States. doi:10.1103/PHYSREVC.80.041301.
@article{osti_21293901,
title = {Covariant density functional theory: The role of the pion},
author = {Lalazissis, G. A. and Department of Physics, University of Tokyo, Hongo, Bunkyo-ku, Tokyo, 113-0033 and Physikdepartment, Technische Universitaet Muenchen, D-85748 Garching and Karatzikos, S. and Serra, M. and Otsuka, T. and Center for Nuclear Study, University of Tokyo, Hongo, Bunkyo-ku, Tokyo, 113-0033 and RIKEN, Hirosawa, Wako-shi, Saitama 351-0198 and Ring, P. and Physikdepartment, Technische Universitaet Muenchen, D-85748 Garching},
abstractNote = {We investigate the role of the pion in covariant density functional theory. Starting from conventional relativistic mean field (RMF) theory with a nonlinear coupling of the {sigma} meson and without exchange terms we add pions with a pseudovector coupling to the nucleons in relativistic Hartree-Fock approximation. In order to take into account the change of the pion field in the nuclear medium the effective coupling constant of the pion is treated as a free parameter. It is found that the inclusion of the pion to this sort of density functionals does not destroy the overall description of the bulk properties by RMF. On the other hand, the noncentral contribution of the pion (tensor coupling) does have effects on single particle energies and on binding energies of certain nuclei.},
doi = {10.1103/PHYSREVC.80.041301},
journal = {Physical Review. C, Nuclear Physics},
number = 4,
volume = 80,
place = {United States},
year = 2009,
month =
}