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.
- Publication:
-
Physics Letters B
- Pub Date:
- August 2009
- DOI:
- 10.1016/j.physletb.2009.07.041
- arXiv:
- arXiv:0907.2957
- Bibcode:
- 2009PhLB..679..214K
- Keywords:
-
- Nuclear shell model;
- Skyrme Hartree-Fock;
- N =Z nuclei;
- N = Z nuclei;
- 21.60.Cs;
- 21.60.Jz;
- 21.60.-n;
- 21.10.-k;
- Shell model;
- Hartree-Fock and random-phase approximations;
- Nuclear structure models and methods;
- Properties of nuclei;
- nuclear energy levels;
- Nuclear Theory
- E-Print:
- 12 pages, 6 figures, accepted for publication in Phys. Lett. B