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 onemeson 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 nucleonnucleon scattering data, which are given in the form of the density dependent Gmatrix derived from Brueckner calculations based on the Tamagaki potential. We show that the medium and longrange components of this Gmatrix can be described reasonably well by our effective OME interaction. In order to take into account the shortrange part of the nucleonnucleon 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 »
 Authors:
 Department of Physics, University of Tokyo, Hongo, Bunkyoku, Tokyo, 1130033 (Japan)
 (Germany)
 (Japan)
 RIKEN, Hirosawa, Wakoshi, Saitama 3510198 (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; BOSONEXCHANGE MODELS; CHIRALITY; COUPLING; DENSITY; EQUATIONS OF STATE; G MATRIX; ISOSPIN; MEANFIELD THEORY; NEUTRON STARS; NUCLEAR FORCES; NUCLEAR MATTER; NUCLEONNUCLEON 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 1130033, RIKEN, Hirosawa, Wakoshi, Saitama 3510198, Akaishi, Y., and Nihon University, Funabashishi, Chiba 2748501. 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 1130033, RIKEN, Hirosawa, Wakoshi, Saitama 3510198, Akaishi, Y., & Nihon University, Funabashishi, Chiba 2748501. 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 1130033, RIKEN, Hirosawa, Wakoshi, Saitama 3510198, Akaishi, Y., and Nihon University, Funabashishi, Chiba 2748501. 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 1130033 and RIKEN, Hirosawa, Wakoshi, Saitama 3510198 and Akaishi, Y. and Nihon University, Funabashishi, Chiba 2748501},
abstractNote = {In order to predict properties of asymmetric nuclear matter, we construct a relativistic mean field (RMF) model consisting of onemeson 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 nucleonnucleon scattering data, which are given in the form of the density dependent Gmatrix derived from Brueckner calculations based on the Tamagaki potential. We show that the medium and longrange components of this Gmatrix can be described reasonably well by our effective OME interaction. In order to take into account the shortrange part of the nucleonnucleon 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 breathingmode energies in the scaling model for several parameter sets that are under discussion in nuclear relativistic meanfield 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}

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