Extensive Study of the Soft-Rotator Model Hamiltonian Parameters for Medium and Heavy Even-Even Nuclei

Abstract

Soft-rotator model Hamiltonian parameters were deduced for 63 even-even nuclei in the mass range 56 ≤ A ≤ 238 by a combination of low-lying level structure and coupled-channel proton scattering analyses toward a systematic and accurate calculation of nuclear data. It was found that the obtained effective quadrupole and octupole deformation parameters were consistent with those derived from experimental B(E2) and B(E3) data. In addition, equilibrium ground-state quadrupole deformation parameters were also in reasonable accord with theoretical results for deformed heavy nuclei. The obtained parameters often varied with neutron and/or proton numbers anomalously, showing mostly the effects of shell closure. On the other hand, some clear systematic trends were seen among major Hamiltonian parameters.