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Few-Body Systems

, 61:3 | Cite as

The Hankel Transform of the Hulthén Green’s Function

  • U. LahaEmail author
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Abstract

It is shown that the Hankel transform of the s-wave Hulthén 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.

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© Springer-Verlag GmbH Austria, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of PhysicsNational Institute of Technology, JamshedpurJamshedpurIndia

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