Temeprature-dependent Seeger's liquid drop energy for nuclei up to Z=118

TL;DR

This paper revisits Seeger's liquid drop energy model, incorporating temperature dependence to accurately predict ground-state binding energies of nuclei up to Z=118, with constants fitted to experimental data.

Contribution

It introduces temperature-dependent constants into Seeger's liquid drop model, improving the accuracy of nuclear binding energy predictions for hot and rotating nuclei.

Findings

Constants fitted with <1.5 MeV precision

Temperature dependence incorporated based on recent decay calculations

Constants at T=0 provided for further research

Abstract

Seeger's semi-empirical mass formula is revisited for two of its constants (bulk constant {\alpha}(0) and neutron-proton asymmetry constant a_{a}) readjusted to obtain the ground-state (g.s.) binding energies of nuclei within a precision of <1.5 MeV and for nuclei up to Z=118. The aim is to include the temperature T-dependence on experimental binding energies, and not to obtain the new parameter set of Seeger's liquid drop energy VLDM . Our proceedure is to define the g.s. binding energy B = V_{LDM} + {\delta}U, as per Strutinsky renormalization procedure, and using the empirical shell corrections {\delta}U of Myers and Swiatecki, fit the constants of V_{LDM} to obtain the experimental binding energy Bexpt or theoretically calculated Btheo if data were not available. The T-dependence of the constants of V_{LDM}, is introduced as per the work of Davidson et al., where the pairing energy {\delta}(T) is modified as per new calculations on compound nucleus decays. The newly fitted constants of V_{LDM} at T=0 are made available here for use of other workers interested in nuclear dynamics of hot and rotating nuclei.