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 (15)

• New effective interaction for $pf$-shell nuclei and its implications for the stability of the $N$=$Z$=28 closed core
• The realistic collective nuclear Hamiltonian
• 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
• Symmetry-Unrestricted Skyrme-Hartree-Fock-Bogoliubov Calculations for Exotic Shapes in N=Z Nuclei from 64Ge to 84Mo
• Spin-orbit and tensor mean-field effects on spin-orbit splitting including self-consistent core polarizations
• On the Backbending Mechanism of ${}^{48}$Cr
• Quadrupole and octupole softness in the N=Z nucleus 64Ge
• Improvement of the extended P+QQ interaction by modifying the monopole field
• Shape transition and oblate-prolate coexistence in N=Z fpg-shell nuclei
• Nuclear structure of the exotic mass region along the rp process path
• Different particle alignments in N \approx Z Ru isotopes studied by the shell model
• Application of the Adiabatic Selfconsistent-Collective-Coordinate Method to a Solvable Model of Prolate-Oblate Shape Coexistence
• Effective shell model Hamiltonians from density functional theory: quadrupolar and pairing correlations
• Shell-model Hamiltonians from Density Functional Theory

Cited by in corpus (4)

• Triaxial quadrupole deformation dynamics in sd-shell nuclei around 26Mg
• Cluster formations in deformed states for ${}^{28}$Si and ${}^{32}$S
• Search for the $\alpha$ + core structure in the ground state bands of $22\le Z\le 42$ even-even nuclei
• Shell model description of Ge isotopes