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Title: Cold, dense nuclear matter in a SU(2) parity doublet model

Abstract

We study dense nuclear matter and the chiral phase transition in a SU(2) parity doublet model at zero temperature. The model is defined by adding the chiral partner of the nucleon, the N{sup '}, to the linear sigma model, treating the mass of the N{sup '} as an unknown free parameter. The parity doublet model gives a reasonable description of the properties of cold nuclear matter, and avoids unphysical behavior present in the standard SU(2) linear sigma model. If the N{sup '} is identified as the N{sup '}(1535), the parity doublet model shows a first order phase transition to a chirally restored phase at large densities, {rho}{approx_equal}10{rho}{sub 0}, defining the transition by the degeneracy of the masses of the nucleon and the N{sup '}. If the mass of the N{sup '} is chosen to be 1.2 GeV, then the critical density of the chiral phase transition is lowered to three times normal nuclear matter density, and for physical values of the pion mass, the first order transition turns into a smooth crossover.

Authors:
 [1];  [2];  [3];  [4];  [5]
  1. Instituto de Fisica, Universidade Federal do Rio de Janeiro, C.P. 68.528, 21941-972 Rio de Janeiro, RJ (Brazil)
  2. (Germany)
  3. Gesellschaft fuer Schwerionenforschung, D-64291 Darmstadt (Germany)
  4. Institut fuer Theoretische Physik, J. W. Goethe Universitaet, D-60438 Frankfurt (Germany)
  5. Department of Physics, Brookhaven National Laboratory, Upton, New York 11973 (United States)
Publication Date:
OSTI Identifier:
20995319
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevC.75.055202; (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; CHIRALITY; DENSITY; GEV RANGE 01-10; MASS; NUCLEAR MATTER; NUCLEONS; PARITY; PHASE TRANSFORMATIONS; PIONS; SIGMA MODEL

Citation Formats

Zschiesche, D., Institut fuer Theoretische Physik, J. W. Goethe Universitaet, D-60438 Frankfurt, Tolos, L., Schaffner-Bielich, Juergen, and Pisarski, Robert D.. Cold, dense nuclear matter in a SU(2) parity doublet model. United States: N. p., 2007. Web. doi:10.1103/PHYSREVC.75.055202.
Zschiesche, D., Institut fuer Theoretische Physik, J. W. Goethe Universitaet, D-60438 Frankfurt, Tolos, L., Schaffner-Bielich, Juergen, & Pisarski, Robert D.. Cold, dense nuclear matter in a SU(2) parity doublet model. United States. doi:10.1103/PHYSREVC.75.055202.
Zschiesche, D., Institut fuer Theoretische Physik, J. W. Goethe Universitaet, D-60438 Frankfurt, Tolos, L., Schaffner-Bielich, Juergen, and Pisarski, Robert D.. Tue . "Cold, dense nuclear matter in a SU(2) parity doublet model". United States. doi:10.1103/PHYSREVC.75.055202.
@article{osti_20995319,
title = {Cold, dense nuclear matter in a SU(2) parity doublet model},
author = {Zschiesche, D. and Institut fuer Theoretische Physik, J. W. Goethe Universitaet, D-60438 Frankfurt and Tolos, L. and Schaffner-Bielich, Juergen and Pisarski, Robert D.},
abstractNote = {We study dense nuclear matter and the chiral phase transition in a SU(2) parity doublet model at zero temperature. The model is defined by adding the chiral partner of the nucleon, the N{sup '}, to the linear sigma model, treating the mass of the N{sup '} as an unknown free parameter. The parity doublet model gives a reasonable description of the properties of cold nuclear matter, and avoids unphysical behavior present in the standard SU(2) linear sigma model. If the N{sup '} is identified as the N{sup '}(1535), the parity doublet model shows a first order phase transition to a chirally restored phase at large densities, {rho}{approx_equal}10{rho}{sub 0}, defining the transition by the degeneracy of the masses of the nucleon and the N{sup '}. If the mass of the N{sup '} is chosen to be 1.2 GeV, then the critical density of the chiral phase transition is lowered to three times normal nuclear matter density, and for physical values of the pion mass, the first order transition turns into a smooth crossover.},
doi = {10.1103/PHYSREVC.75.055202},
journal = {Physical Review. C, Nuclear Physics},
number = 5,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}