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arXiv · 0907.2957

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

Kazunari Kaneko·Takahiro Mizusaki·Yang Sun·Munetake Hasegawa
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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.

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Kazunari Kaneko, Takahiro Mizusaki, Yang Sun, Munetake Hasegawa. 2009-07-17. Shell-model Hamiltonian from self-consistent mean-field model: $N=Z$ nuclei. https://doi.org/10.1016/j.physletb.2009.07.041

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