Chiral thermodynamics of nuclear matter
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文摘
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 2¦Ð-exchange with explicit ¦¤-isobar excitation are included, as well as three-body forces. We construct the phase diagram of nuclear matter for different proton fractions 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 , while nuclear matter becomes unbound at . The quadratic expansion of the free energy in the asymmetry parameter ¦Ä is a good approximation at low temperature even for large ¦Ä. 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.

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