It is shown that the Hankel transform of the s-wave Hulthen physical Green’s function satisfies a second-order differential equation. This equation is solved by applying the proper boundary conditions in association with the properties of the special functions of mathematics to get a closed form expression for the same. The Hankel transform of the physical Green’s function is exploited to extract off-shell solutions and Half- and off-shell T-matrices in the maximal reduced form. The check on our expressions with particular emphasis on their limiting behaviour is made and is found in order. The bound state spectrums of n–p and $$\hbox {n-C}^{12}$$ systems are computed by exploiting the associated Jost function and found excellent agreement with experimental results.

中文翻译：

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Hulthén Green 函数的 Hankel 变换

结果表明，s波Hulthen物理格林函数的Hankel变换满足二阶微分方程。该方程是通过应用适当的边界条件并结合数学特殊函数的性质来求解的，以获得相同的封闭形式表达式。物理格林函数的汉克尔变换被用来以最大简化形式提取壳外解以及半壳和壳外 T 矩阵。检查我们的表达，特别强调它们的限制行为，并按顺序找到。n-p 和 $$\hbox {nC}^{12}$$ 系统的束缚态谱是通过利用相关的 Jost 函数计算的，并且发现与实验结果非常吻合。