Nuclear condensation and symmetry energy of dilute nuclear matter: an S-matrix approach

Abstract

Based on the general analysis of the grand canonical partition function in the S-matrix framework, the calculated results on symmetry energy, free energy and entropy of dilute warm nuclear matter are presented. At a given temperature and density, the symmetry energy or symmetry free energy of the clusterized nuclear matter in the S-matrix formulation deviates, particularly at low temperature and relatively higher density, in a subtle way, from the linear dependence on the square of the isospin asymmetry parameter $X=({\rho }_n-{\rho }_p)/({\rho }_n+{\rho }_p)$, contrary to those obtained for homogeneous nucleonic matter. The symmetry coefficients, in the conventional definition, can then be even negative. The symmetry entropy similarly shows a very different behavior.

8 pages, 6 figures. PRC (in press)

References in corpus (9)

• Theory of Core-Collapse Supernovae
• Experimental determination of the symmetry energy of a low density nuclear gas
• Temperature effects on the nuclear symmetry energy and symmetry free energy with an isospin and momentum dependent interaction
• Tracing the evolution of the symmetry energy of hot nuclear fragments from the compound nucleus towards multifragmentation
• Neutrino Breakup of A=3 Nuclei in Supernovae
• Excitation energy dependence of symmetry energy of finite nuclei
• S-matrix approach to equation of state of nuclear matter
• Density dependence of symmetry free energy of hot nuclei
• Nuclear condensation and the equation of state of nuclear matter

Cited by in corpus (3)

• Symmetry coefficients and incompressibility of clusterized supernova matter
• Temperature dependence of nuclear matter generalized isovector symmetry energy with Skyrme-type interactions
• Scattering effects on nuclear thermodynamic observables