Self-consistent density profiles of two-component hot nuclei in equilibrium with an external gas are calculated in the semi-classical Thomas-Fermi model with a new prescription. The energy functional is calculated with a momentum and density dependent finite range two-body effective interaction. The evolution of equilibrium nuclear masses as a function of temperature and densities of the external neutron and proton gas is investigated in this description. Limiting temperatures of nuclei, their lifetimes against neutron evaporation, temperature dependence of incompressibilites of finite nuclei and a few other observables are also studied in the present model.

Extraction of the nuclear matter incompressibility K"from the experimental giant monopole resonance (GMR) data via liquid drop type expansion of compression modulus of finite nuclei K"is found to be fraught with uncertainties. Hence a realistic finite range effective interaction is constructed that reproduces the bulk properties of nuclear systems as well as the GMR data in the Thomas-Fermi approximation. The nuclear matter incompressibility calculated with this interaction is found to be 226 MeV. A numerical scheme is also proposed which enables us to extract the various coefficients occurring in the expansion of Kz employing this effective interaction. PACS number(s): 21.65.+f, 21.30.+ y, 24.30.Cz 'Permanent address: Department of Physics, University of Kalyani, Kalyani -741 235, India. therein. Kv Ks

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