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arXiv 1803.03047nucl-thquant-ph
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中子-质子散射与奇异势

Neutron-proton scattering and singular potentials

Mahmut Elbistan, Pengming Zhang, Janos Balog

摘要:

我们考虑核子散射相移的Bargmann型有理参数化。应用量子逆散射的Marchenko方法,我们表明,散射数据表明,一个奇异的排斥核心的形式$2/r^2$和$6/r^2$在自然单位的潜力,分别为${}^3S_1$和${}^1S_0$渠道。在${}^3S_1$通道中的最简单的解决方案只包含三个参数,但在百分之一的误差范围内再现了势和束缚态波函数的所有特征。我们还考虑了${}^3S_1$ - ${}^3D_1$耦合通道问题的耦合通道Marchenko反演方法。

英文摘要:

We consider a Bargmann-type rational parametrization of the nucleon scattering phase shifts. Applying Marchenko's method of quantum inverse scattering we show that the scattering data suggest a singular repulsive core of the potential of the form $2/r^2$ and $6/r^2$ in natural units, for the ${}^3S_1$ and ${}^1S_0$ channels respectively. The simplest solution in the ${}^3S_1$ channel contains three parameters only but reproduces all features of the potential and bound state wave function within one percent error. We also consider the ${}^3S_1$-${}^3D_1$ coupled channel problem with the coupled channel Marchenko inversion method.

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