TY - JOUR

T1 - Chiral thermodynamics of nuclear matter

AU - Fiorilla, Salvatore

AU - Kaiser, Norbert

AU - Weise, Wolfram

N1 - Funding Information:
Work supported in part by BMBF, GSI and the DFG Cluster of Excellence “Origin and Structure of the Universe”. Corresponding author. E-mail address: [email protected] (S. Fiorilla).

PY - 2012/4/15

Y1 - 2012/4/15

N2 - The free energy and the equation of state of isospin-asymmetric nuclear matter are calculated at finite temperature up to three loop order in the framework of in-medium chiral perturbation theory, systematically incorporating one- and two-pion exchange dynamics to this order. Effects from the 2π-exchange with explicit δ-isobar excitation are included, as well as three-body forces. We construct the phase diagram of nuclear matter for different proton fractions x p and investigate the dependence of nuclear matter properties on the isospin-asymmetry. A detailed study of the liquid-gas phase transition is performed. For isospin-symmetric nuclear matter we find a critical temperature of 15.1 MeV; as the isospin-asymmetry is increased, the liquid-gas coexistence region decreases until it disappears at x p≃0.05, while nuclear matter becomes unbound at x p≃0.12. The quadratic expansion of the free energy in the asymmetry parameter δ is a good approximation at low temperature even for large δ. An estimate of chiral four-body correlations in nuclear and neutron matter is also performed and the corrections from such four-body interactions are found to be small.

AB - The free energy and the equation of state of isospin-asymmetric nuclear matter are calculated at finite temperature up to three loop order in the framework of in-medium chiral perturbation theory, systematically incorporating one- and two-pion exchange dynamics to this order. Effects from the 2π-exchange with explicit δ-isobar excitation are included, as well as three-body forces. We construct the phase diagram of nuclear matter for different proton fractions x p and investigate the dependence of nuclear matter properties on the isospin-asymmetry. A detailed study of the liquid-gas phase transition is performed. For isospin-symmetric nuclear matter we find a critical temperature of 15.1 MeV; as the isospin-asymmetry is increased, the liquid-gas coexistence region decreases until it disappears at x p≃0.05, while nuclear matter becomes unbound at x p≃0.12. The quadratic expansion of the free energy in the asymmetry parameter δ is a good approximation at low temperature even for large δ. An estimate of chiral four-body correlations in nuclear and neutron matter is also performed and the corrections from such four-body interactions are found to be small.

KW - Chiral perturbation theory

KW - Equation of state

KW - Liquid-gas phase transition

KW - Nuclear matter

KW - Phase diagram

KW - Thermodynamics

UR - http://www.scopus.com/inward/record.url?scp=84857983885&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysa.2012.01.003

DO - 10.1016/j.nuclphysa.2012.01.003

M3 - Article

AN - SCOPUS:84857983885

SN - 0375-9474

VL - 880

SP - 65

EP - 87

JO - Nuclear Physics, Section A

JF - Nuclear Physics, Section A

ER -