Mass and isotope dependence of limiting temperatures for hot nuclei

Abstract

The mass and isotope dependence of limiting temperatures for hot nuclei are investigated. The predicted mass dependence of limiting temperatures is in good agreement with data derived from the caloric curve data. The predicted isotope distribution of limiting temperatures appears to be a parabolic shape and its centroid is not located at the isotope on the β-stability line(T=0) but at neutron-rich side. Our study shows that the mass and isotope dependence of limiting temperatures depend on the interaction and the form of surface tension and its isopin dependence sensitively.

Effective interaction dependence of the liquid–gas phase transition in symmetric nuclear matter

“…Liquid drop formulae have been used extensively in this context [17,18], in spite of the uncertainties associated with the phenomenological finite temperature dependence of their surface and Coulomb terms [19]. The calculations for isospin asymmetric drops are among the few that are able to predict isotopic shifts of the critical properties [20,21], which are of interest given the available experimental data [13].…”

Sensitive dependence of isotope and isobar distributions of limiting temperatures on the symmetry energy

“…It is found that the calculated limiting temperature sensitively depends on the stiffness of the EOS (the incompressibility), critical temperature, surface tension, et al [21][22][23][24]. From experimental observations of limiting temperature, Natowitz et al successfully derived the critical temperature and the incompressibility of isospin symmetric nuclear matter [25,26].…”

“…Further, Li and Liu [24] pointed out that the isotope distribution of limiting temperatures sensitively depended on the isospin dependent part of interaction. But the effects of the isoscalar and isovector parts of the EOS on limiting temperature are entangled in their paper.…”

“…We use the same model as that used in Refs. [24,27,28]. Within this model a hot nucleus is considered as a spherical liquid droplet of uniformly distributed nuclear matter at constant temperature.…”

“…[30,31] (which is called Surf2 in Ref. [24]). The critical temperature for infinite nuclear matter is taken as 17 MeV, referenced from Ref.…”