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Title: Relativistic mean field model based on realistic nuclear forces

Abstract

In order to predict properties of asymmetric nuclear matter, we construct a relativistic mean field (RMF) model consisting of one-meson exchange (OME) terms and point coupling (PC) terms. In order to determine the density dependent parameters of this model, we use properties of isospin symmetric nuclear matter in combination with the information on nucleon-nucleon scattering data, which are given in the form of the density dependent G-matrix derived from Brueckner calculations based on the Tamagaki potential. We show that the medium- and long-range components of this G-matrix can be described reasonably well by our effective OME interaction. In order to take into account the short-range part of the nucleon-nucleon interaction, which cannot be described well in this manner, a point coupling term is added. Its analytical form is taken from a model based on chiral perturbation theory. It contains only one additional parameter, which does not depend on the density. It is, together with the parameters of the OME potentials adjusted to the equation of state of symmetric nuclear matter. We apply this model for the investigation of asymmetric nuclear matter and find that the results for the symmetry energy as well as for the equation of state of puremore » neutron matter are in good agreement with either experimental data or with presently adopted theoretical predictions. In order to test the model at higher density, we use its equation of state for an investigation of properties of neutron stars.« less

Authors:
;  [1];  [1];  [2];  [1];  [3];  [3];  [4];  [3]
  1. Department of Physics, University of Tokyo, Hongo, Bunkyo-ku, Tokyo, 113-0033 (Japan)
  2. (Germany)
  3. (Japan)
  4. RIKEN, Hirosawa, Wako-shi, Saitama 351-0198 (Japan)
Publication Date:
OSTI Identifier:
20991002
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevC.75.024301; (c) 2007 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; ASYMMETRY; BOSON-EXCHANGE MODELS; CHIRALITY; COUPLING; DENSITY; EQUATIONS OF STATE; G MATRIX; ISOSPIN; MEAN-FIELD THEORY; NEUTRON STARS; NUCLEAR FORCES; NUCLEAR MATTER; NUCLEON-NUCLEON INTERACTIONS; RELATIVISTIC RANGE

Citation Formats

Hirose, S., Serra, M., Ring, P., Physik department, Technische Universitaet Muenchen, Garching, Otsuka, T., Center for Nuclear Study, University of Tokyo, Hongo, Bunkyoku, Tokyo 113-0033, RIKEN, Hirosawa, Wako-shi, Saitama 351-0198, Akaishi, Y., and Nihon University, Funabashi-shi, Chiba 274-8501. Relativistic mean field model based on realistic nuclear forces. United States: N. p., 2007. Web. doi:10.1103/PHYSREVC.75.024301.
Hirose, S., Serra, M., Ring, P., Physik department, Technische Universitaet Muenchen, Garching, Otsuka, T., Center for Nuclear Study, University of Tokyo, Hongo, Bunkyoku, Tokyo 113-0033, RIKEN, Hirosawa, Wako-shi, Saitama 351-0198, Akaishi, Y., & Nihon University, Funabashi-shi, Chiba 274-8501. Relativistic mean field model based on realistic nuclear forces. United States. doi:10.1103/PHYSREVC.75.024301.
Hirose, S., Serra, M., Ring, P., Physik department, Technische Universitaet Muenchen, Garching, Otsuka, T., Center for Nuclear Study, University of Tokyo, Hongo, Bunkyoku, Tokyo 113-0033, RIKEN, Hirosawa, Wako-shi, Saitama 351-0198, Akaishi, Y., and Nihon University, Funabashi-shi, Chiba 274-8501. Thu . "Relativistic mean field model based on realistic nuclear forces". United States. doi:10.1103/PHYSREVC.75.024301.
@article{osti_20991002,
title = {Relativistic mean field model based on realistic nuclear forces},
author = {Hirose, S. and Serra, M. and Ring, P. and Physik department, Technische Universitaet Muenchen, Garching and Otsuka, T. and Center for Nuclear Study, University of Tokyo, Hongo, Bunkyoku, Tokyo 113-0033 and RIKEN, Hirosawa, Wako-shi, Saitama 351-0198 and Akaishi, Y. and Nihon University, Funabashi-shi, Chiba 274-8501},
abstractNote = {In order to predict properties of asymmetric nuclear matter, we construct a relativistic mean field (RMF) model consisting of one-meson exchange (OME) terms and point coupling (PC) terms. In order to determine the density dependent parameters of this model, we use properties of isospin symmetric nuclear matter in combination with the information on nucleon-nucleon scattering data, which are given in the form of the density dependent G-matrix derived from Brueckner calculations based on the Tamagaki potential. We show that the medium- and long-range components of this G-matrix can be described reasonably well by our effective OME interaction. In order to take into account the short-range part of the nucleon-nucleon interaction, which cannot be described well in this manner, a point coupling term is added. Its analytical form is taken from a model based on chiral perturbation theory. It contains only one additional parameter, which does not depend on the density. It is, together with the parameters of the OME potentials adjusted to the equation of state of symmetric nuclear matter. We apply this model for the investigation of asymmetric nuclear matter and find that the results for the symmetry energy as well as for the equation of state of pure neutron matter are in good agreement with either experimental data or with presently adopted theoretical predictions. In order to test the model at higher density, we use its equation of state for an investigation of properties of neutron stars.},
doi = {10.1103/PHYSREVC.75.024301},
journal = {Physical Review. C, Nuclear Physics},
number = 2,
volume = 75,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}
  • We calculate breathing-mode energies in the scaling model for several parameter sets that are under discussion in nuclear relativistic mean-field theory. The relativistic Hartree approximation is used together with a schematic approach for the surface incompressibility. Empirical data can only be reproduced reasonably with parameter sets that lead to a nuclear matter compressibility modulus not higher than 230 MeV. {copyright} {ital 1997} {ital The American Physical Society}
  • Masses and radii of neutron stars were calculated within the relativistic-mean-field model by using free-space nucleon-nucleon forces. Multiparticle forces and correlations were taken into account phenomenologically by introducing a nonlinearity in isoscalar channels and three-particle forces in the scalar-isovector channel.
  • Properties of symmetric nuclear matter and neutron-rich matter predicted by effective field based relativistic mean field parameter sets are compared to those presented in a recent analysis of nuclear giant monopole resonance and isospin diffusion data and a study of the neutron skin of finite nuclei, as well as some selected observational data of neutron stars. Motivated by the fact that none of the published parameter sets of this model is simultaneously consistent with all previously mentioned constraints, an improvement not only in the isovector sector but also in isoscalar sector of this model is proposed. The properties of symmetricmore » nuclear matter and neutron-rich matter, as well as some basic properties of static neutron stars predicted by the proposed parameter set (G2**), are discussed.« less
  • The shear ({eta}) and bulk ({zeta}) viscosities are calculated in a quasiparticle relaxation-time approximation for a hadron matter described within the relativistic mean-field-based model with scaled hadron masses and couplings. Comparison with results of other models is presented. We demonstrate that a small value of the shear viscosity to entropy density ratio required for explaining a large elliptic flow observed at RHIC may be reached in the hadron phase. Relatively large values of the bulk viscosity are noted in the case of a baryon-enriched matter.