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Hulthén Half-off-Shell T Matrix-Application to n-p and n-d Systems
Journal of the Korean Physical Society ( IF 0.8 ) Pub Date : 2020-05-01 , DOI: 10.3938/jkps.76.782
A. K. Behera , U. Laha , P. Sahoo , J. Bhoi

In a previous paper, one of us (UL) constructed an exact analytical expression for the irregular (Jost) solution, off the energy shell, for the Hulthen potential by using the method of ordinary differential equation along with the properties of certain special functions of mathematical physics. In the present text, closed form expressions for the off-shell irregular solution and half-off-shell Tmatrix for motion in the Hulthen potential are re-derived by using the direct integration approach to the problem under consideration. We demonstrate the usefulness of our expressions through some model calculations and achieve excellent agreement between bound-and scattering-state observables and standard results.

中文翻译:

Hulthén 半脱壳 T 矩阵-在 np 和 nd 系统中的应用

在之前的一篇论文中,我们中的一个人 (UL) 通过使用常微分方程的方法以及某些特殊函数的性质,为 Hulthen 势的能量壳外的不规则 (Jost) 解构建了一个精确的解析表达式。数学物理。在本文中,壳外不规则解的封闭形式表达式和 Hulthen 势中运动的半壳外 Tmatrix 是通过对所考虑的问题使用直接积分方法重新导出的。我们通过一些模型计算证明了我们的表达式的有用性,并在边界和散射状态可观测值与标准结果之间实现了极好的一致性。
更新日期:2020-05-01
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