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

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

2009-07-17

arxiv.org/abs/0907.2957v1

Phys.Lett.B679:214-218,2009

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1016/j.physletb.2009.07.041

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.

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