Shell-model Hamiltonian from self-consistent mean-field model: N = Z nuclei

摘要

We propose a procedure to determine the effective nuclear shell-model Hamiltonian in a truncatedspace from a self-consistent mean-field model, e.g., the Skyrme model. The parameters of pairing plusquadrupole-quadrupole interaction with monopole force are obtained so that the potential energy surfaceof the Skyrme Hartree-Fock + BCS calculation is reproduced. We test our method for N = Z nuclei inthe fpg- and sd-shell regions. It is shown that the calculated energy spectra with these parametersare in a good agreement with experimental data, in which the importance of the monopole interaction isdiscussed. This method may represent a practical way of defining the Hamiltonian for general shell-modelcalculations.