Nuclear stability and ratio of kinetic to potential energy*

Abstract The Skyrme energy density functional was used to systematically analyze the ratio of repulsive kinetic to attractive potential energy ( ) for even-even nuclei in their ground states. Notably, the nuclei with maximal value of are generally stable for a certain isobaric chain with . However, the known magic numbers can be more clearly observed from the ratio than from nuclear binding energy, particularly for the isobaric chains with semi-magic nuclei. Combining the predicted binding energies and the ratios from the Skyrme Hartree-Fock-Bogoliubov (HFB) code transformed harmoic oscilattor (HFBTHO) with the parameter set based on the Universal Nuclear Energy Density Funcitonal (UNEDF0), the possible magic numbers in super-heavy mass region were simultaneously studied. The neutron magic number can be clearly observed from the calculated values of and the extracted microscopic energies of the nuclei.