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Title: QCD susceptibilities and nuclear matter saturation in a chiral theory: Inclusion of pion loops

Abstract

We derive the equation of state of symmetric nuclear matter in a relativistic theory with {sigma} and {omega} exchange. We take a chiral version of this model which insures all the chiral constraints. Going beyond the mean field approach we introduce the effects of the pion loops. For the parameters of the model, in order to fix those linked to pion exchange, we exploit the most recent information on the short-range part of the spin-isospin interaction. For those linked to the scalar meson exchange we make use of an analysis of lattice results on the nucleon mass evolution with the quark mass. With these inputs we are able reach a correct description of the saturation properties. From the equation of state of symmetric nuclear matter we also derive the density dependence of the quark condensate and of the QCD susceptibilities.

Authors:
;  [1];  [2];  [3]
  1. IPN Lyon, Universite de Lyon, Universite Lyon 1, CNRS/IN2P3, UMR5822, F-69622 Villeurbanne Cedex (France)
  2. (France)
  3. (Switzerland)
Publication Date:
OSTI Identifier:
20990974
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevC.75.015206; (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; EQUATIONS OF STATE; INCLUSIONS; ISOSPIN; MASS; MEAN-FIELD THEORY; NUCLEAR MATTER; NUCLEONS; OMEGA BARYONS; PIONS; QUANTUM CHROMODYNAMICS; QUARK CONDENSATION; QUARKS; RELATIVISTIC RANGE; SATURATION; SCALAR MESONS; SPIN

Citation Formats

Chanfray, G., Ericson, M., IPN Lyon, Universite de Lyon, Universite Lyon 1, CNRS/IN2P3, UMR5822, F-69622 Villeurbanne Cedex, and Theory Division, CERN, CH-12111 Geneva. QCD susceptibilities and nuclear matter saturation in a chiral theory: Inclusion of pion loops. United States: N. p., 2007. Web. doi:10.1103/PHYSREVC.75.015206.
Chanfray, G., Ericson, M., IPN Lyon, Universite de Lyon, Universite Lyon 1, CNRS/IN2P3, UMR5822, F-69622 Villeurbanne Cedex, & Theory Division, CERN, CH-12111 Geneva. QCD susceptibilities and nuclear matter saturation in a chiral theory: Inclusion of pion loops. United States. doi:10.1103/PHYSREVC.75.015206.
Chanfray, G., Ericson, M., IPN Lyon, Universite de Lyon, Universite Lyon 1, CNRS/IN2P3, UMR5822, F-69622 Villeurbanne Cedex, and Theory Division, CERN, CH-12111 Geneva. Mon . "QCD susceptibilities and nuclear matter saturation in a chiral theory: Inclusion of pion loops". United States. doi:10.1103/PHYSREVC.75.015206.
@article{osti_20990974,
title = {QCD susceptibilities and nuclear matter saturation in a chiral theory: Inclusion of pion loops},
author = {Chanfray, G. and Ericson, M. and IPN Lyon, Universite de Lyon, Universite Lyon 1, CNRS/IN2P3, UMR5822, F-69622 Villeurbanne Cedex and Theory Division, CERN, CH-12111 Geneva},
abstractNote = {We derive the equation of state of symmetric nuclear matter in a relativistic theory with {sigma} and {omega} exchange. We take a chiral version of this model which insures all the chiral constraints. Going beyond the mean field approach we introduce the effects of the pion loops. For the parameters of the model, in order to fix those linked to pion exchange, we exploit the most recent information on the short-range part of the spin-isospin interaction. For those linked to the scalar meson exchange we make use of an analysis of lattice results on the nucleon mass evolution with the quark mass. With these inputs we are able reach a correct description of the saturation properties. From the equation of state of symmetric nuclear matter we also derive the density dependence of the quark condensate and of the QCD susceptibilities.},
doi = {10.1103/PHYSREVC.75.015206},
journal = {Physical Review. C, Nuclear Physics},
number = 1,
volume = 75,
place = {United States},
year = {Mon Jan 15 00:00:00 EST 2007},
month = {Mon Jan 15 00:00:00 EST 2007}
}