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arXiv 0907.2957nucl-th
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自洽平均场模型的壳模型哈密顿量:$N=Z$核

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

Kazunari Kaneko, Takahiro Mizusaki, Yang Sun, Munetake Hasegawa

摘要:

我们提出了一个从自洽平均场模型确定截断空间中的有效核壳模型哈密顿量的方法,例如,Skyrme模型计算得到了对加四极-四极相互作用的参数,从而重现了Skyrme Hartree-Fock + BCS计算的势能面。我们测试我们的方法为$N=Z$核中的$fpg$和$sd$壳区域。计算结果表明,用这些参数计算的能谱与实验数据符合得很好,并讨论了电子相互作用的重要性。这种方法可以代表一个实用的方法来定义一般壳模型计算的哈密顿量。

英文摘要:

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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