Model for statistical properties of nuclear systems at finite temperature

Thermostatic properties of Seyler-Blanchard nuclei

“…With the parameter values adopted in ref. [1], the equilibrium density of symmetric nuclear matter is p 0 ~ 0.153 fm-3 , and so the associated effective mass is B ~ 0.71 m. It then follows that the level-density parameter for standard nuclear matter is a 0 = (20.384 MeV)-1 . We note that the value of ao is decreased by the factor B / m ~ 0.…”

“…First the model developed in ref. [1] is briefly reviewed, for the convenience of the reader, and we describe briefly how thermostatic properties of hot nuclei can be extracted, considering that the nuclei are embedded in a vapor of nucleons, and determine the maximum temperature that such a nucleus can sustain. We then study the level-density parameter aA, in terms of which the thermal properties of nuclei are often discussed; we derive a useful expansion of A/ a A in powers of A-!…”

“…The relative strength of the momentum and density dependence is governed by the parameter x introduced in ref. [1], and its complement X = 1 -x, which thus controls the effective mass of the nucleon while leaving the static properties unaffected. For X = 0 the density-dependence disappears and the original Seyler-Blanchard interaction is recovered.…”

“…5 in ref. [1]. To a rough approximation, the ,phase-coexistence line in the p -r plane is given by the relationship (7) where (pc, Tc) is the critical point and k -;:::,4j5.…”

“…It is then possible to carry out the momentum integral in the above expression for N(e), and a subsequent differentiation then yields the result and Fn(a) are the usual Fermi integrals (see ref. [1]). We then find…”