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arXiv 0811.0279nucl-th
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张量相互作用的壳结构指纹

Shell-structure fingerprints of tensor interaction

M. Zalewski, W. Satula, J. Dobaczewski, P. Olbratowski, M. Rafalski, T. R. Werner, R. A. Wyss

摘要:

我们解决的后果强张量和弱自旋轨道项的局部能量密度泛函,从适合的$f_{5/2} - f_{7/2}$分裂$^{40}$钙,$^{48}$钙,和$^{56}$镍。在这项研究中,我们专注于核结合能。特别是,我们表明,张量的结合能的贡献表现出有趣的拓扑特征密切类似的壳校正。我们表明,在极端的单粒子的情况下,在球形,张量的贡献显示张量幻数等于$N(Z)$ =14,32,56,和90,这种结构是模糊的,由于配置混合所造成的配对相关性和迁移的质子/中子子壳与中子/质子壳填充。基于一个特定的Skyrme型功能SLy 4 $_T$,我们表明,质子张量幻数移动与增加中子过剩$Z$ =14,28和50。

英文摘要:

We address consequences of strong tensor and weak spin-orbit terms in the local energy density functional, resulting from fits to the $f_{5/2} - f_{7/2}$ splittings in $^{40}$Ca, $^{48}$Ca, and $^{56}$Ni. In this study, we focus on nuclear binding energies. In particular, we show that the tensor contribution to the binding energies exhibits interesting topological features closely resembling that of the shell-correction. We demonstrate that in the extreme single-particle scenario at spherical shape, the tensor contribution shows tensorial magic numbers equal to $N(Z)$=14, 32, 56, and 90, and that this structure is smeared out due to configuration mixing caused by pairing correlations and migration of proton/neutron sub-shells with neutron/proton shell filling. Based on a specific Skyrme-type functional SLy4$_T$, we show that the proton tensorial magic numbers shift with increasing neutron excess to $Z$=14, 28, and 50.

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