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

Abstract

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

12 pages, 6 figures, accepted for publication in Phys. Lett. B

References in corpus (4)

• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Particle-Number Projection and the Density Functional Theory
• Spin-orbit and tensor mean-field effects on spin-orbit splitting including self-consistent core polarizations
• Effective shell model Hamiltonians from density functional theory: quadrupolar and pairing correlations