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arXiv 0803.2291nucl-th
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单粒子能量对核能密度泛函耦合常数的依赖性

Dependence of single-particle energies on coupling constants of the nuclear energy density functional

M. Kortelainen, J. Dobaczewski, K. Mizuyama, J. Toivanen

摘要:

我们证明了双幻核中的单粒子能量几乎线性地依赖于核能密度泛函的耦合常数。因此,它们可以很好地表征的线性回归系数,我们计算的耦合常数的标准Skyrme功能。然后,我们使用这些回归系数重新拟合的耦合常数的单粒子能量的实验值。我们表明,从实验数据得到的均方根偏差仍然是相当大的,1.1兆电子伏的顺序。这表明目前标准形式的Skyrme泛函不能保证单粒子能量的光谱质量描述,并且非常需要这种形式的扩展。

英文摘要:

We show that single-particle energies in doubly magic nuclei depend almost linearly on the coupling constants of the nuclear energy density functional. Therefore, they can be very well characterized by the linear regression coefficients, which we calculate for the coupling constants of the standard Skyrme functional. We then use these regression coefficients to refit the coupling constants to experimental values of single-particle energies. We show that the obtained rms deviations from experimental data are still quite large, of the order of 1.1 MeV. This suggests that the current standard form of the Skyrme functional cannot ensure spectroscopic-quality description of single-particle energies, and that extensions of this form are very much required.

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