Off-Shell Jost Solution for the Hulthén Potential

The s-wave on-shell Jost solution for the Manning-Rosen potential is constructed via the ordinary differential equation approach to the problem. The corresponding off-shell Jost function is calculated by using the integral representation of the off-shell Jost function in a single channel scattering. The half off-shell T- matrix is obtained from the knowledge of the off-shell Jost function. Our constructed expressions for the Jost functions are applied to compute T-matrix, quasi-elastic phase shifts and the scattering phase shifts for the nuclear systems.

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“…The Hulthén off-shell Jost function [10,22,54]. We made another check, the on-shell limit, on our expression for ( ) f k q , .…”

Section: Jost Solution and Jost Functionsmentioning

confidence: 99%

On- and off-shell Jost functions for the Manning-Rosen potential

et al. 2020

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“…The Deng-Fan potential is a multiparameter exponential-type potential. Various other exponential-type potentials have been treated for their approximate analytic solutions in a number of publications [12][13][14][15][16][17][18][19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Low Energy n–p and n–d Scattering with Deng–Fan Potential

Khirali,

Swain,

Laha

et al. 2024

Ukr. J. Phys.

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In any first approach toward a nuclear structure problem, one presumes the nucleons to be elementary particles. The failure or success of this approach may then instruct us something about the significance of sub-nuclear degrees of freedom. The Deng–Fan potential, although extensively used in molecular dynamics to reproduce several observables for the atomic-atomic and atomic-molecular interactions, is parametrized for nuclear systems to fit low-energy observables. By exploiting the variable phase approach (VPA) to potential scattering, phase parameters, cross-sections and analyzing powers are estimated for the nucleon–nucleon and nucleon–nucleus systems. Our results show good concurrence with the earlier theoretical and experimental data within this simple model of interaction.

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The Hankel Transform of the Hulthén Green’s Function

Laha

2019

Few-Body Syst

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Off-Shell Jost Solution for the Hulthén Potential

Cited by 18 publications

References 50 publications

On- and off-shell Jost functions for the Manning-Rosen potential

On- and off-shell Jost functions for the Manning-Rosen potential

Low Energy n–p and n–d Scattering with Deng–Fan Potential

The Hankel Transform of the Hulthén Green’s Function

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