A single-particle model calculation of total energy surfaces in heavy nuclei

摘要: Abstract The total energy surfaces for heavy nuclei have been calculated using a double-center oscillator, single-particle potential. are the summation method of Nilsson in which virial term, proportional to 〈 T − V 〉, has explicitly. It is found that this term significantly influences shape surface and height fission barrier. barrier 236 U reduced by 77 MeV with inclusion term. Equilibrium deformations, heights isomer excitation energies ranging from 230 Th 256 Fm compared experimental data as well other theoretical calculations. reasonable agreement if oscillator parameter, ħω 0 , chosen so level density model equals experimentally observed actinide region. Isomeric states, 2 3 MeV, predicted thorium curium but absent heavier elements. In calculations predict inner quite small spontaneous would not likely be observed. isotopes uranium, lighter virtually all plutonium americium, barriers nearly equal size. outer observation might difficult. shown rather insensitive spin-orbit parameter k . quadrupole deformation ground state range investigated about β = 0.25 while isomeric 0.70.