Parameterization of the Woods-Saxon Potential for Shell-Model Calculations

Parameterization of the Woods-Saxon Potential for Shell-Model Calculations
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发表时间:
2007-09
期刊:
arXiv: Nuclear Theory
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通讯作者:
N. Schwierz;I. Wiedenhöver;A. Volya
N. Schwierz;I. Wiedenhöver;A. Volya
中科院分区:
其他
文献类型:
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作者:
N. Schwierz;I. Wiedenhöver;A. Volya

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伍兹-撒克逊势在现代核物理中的广泛应用和新核数据的出现促使我们回顾和优化了这一势的参数,并将其用于实验中的双幻核周围的单核子谱。我们得到了一个适用于整个核图的从O到最重元素的参数化法。除库仑分量外,得到的参数集是同位旋对称的。我们证明,势能很好地描述了核平均场,从而产生了高质量的单粒子谱、核半径、滴线预测、壳层闭合和其他性质。因此,伍兹-撒克逊拟合为壳模型计算提供了足够的单粒子基础,并过渡到连续统中。
The drastically expanded use of the Woods-Saxon potential in modern day nuclear physics and the availability of new nuclear data motivated us to review and optimize the parameters of this potential to the experimental single-nucleon spectra around the doubly-magic nuclei between $^{16}$O and $^{208}$Pb. We obtain a parameterization which is applicable over the whole nuclear chart for nuclides between $^{16}$O and the heaviest elements. Apart from Coulomb components the obtained parameter set is isospin symmetric. We demonstrate that the potential provides a good description of the nuclear mean field leading to quality single-particle spectra, nuclear radii, prediction of drip-lines, shell closures and other properties. Thus presented Woods-Saxon fit provides adequate single-particle basis for shell model calculations bridging over into the continuum.