Phase-function method for Coulomb-distorted nuclear scattering

Sett, G C; Laha, U.; Talukdar, B.

doi:10.1088/0305-4470/21/18/017

Cited by 30 publications

(12 citation statements)

References 8 publications

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“…1 as a function of q and verify that it produces the scattering phase shift [37] ) (k  at k q  for scattering by Yamaguchi potential [2]. Volume 4, Number 6, November 2014 …”

Section: Numerical Results and Discussionmentioning

confidence: 75%

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Integral Transforms and Their Applications to Scattering Theory

Bhoi¹,

Laha²

2014

IJAPM

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Closed form analytical expressions for integral transforms of the free particle Green's functions by the form factors of the separable potential and Hankel function are evaluated by adopting various approaches to the problem to construct off-shell Jost/irregular solution of inhomogeneous Schrödinger type equation for motion in Graz separable potential. Off-shell Jost function is also computed numerically.

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“…1 as a function of q and verify that it produces the scattering phase shift [37] ) (k  at k q  for scattering by Yamaguchi potential [2]. Volume 4, Number 6, November 2014 …”

Section: Numerical Results and Discussionmentioning

confidence: 75%

“…The definite and indefinite integrals involved in (78) and (79) can easily be handled by substituting the free particle irregular Green's function [24], [25], [30] together with the relations (26), (37), (41), (43) …”

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confidence: 99%

Integral Transforms and Their Applications to Scattering Theory

Bhoi¹,

Laha²

2014

IJAPM

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“…The phase function method is an efficient approach for computing the scattering phase shifts for quantum mechanical problems involving local [35] and nonlocal interactions [36,37]. We shall compute the phase shifts for the systems under consideration by applying the phase equation…”

Section: Resultsmentioning

confidence: 99%

Localization of a nonlocal interaction

Laha¹,

Das²,

Bhoi³

2017

Turk J Phys

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Abstract:A simple method for the localization of a separable nonlocal interaction is formulated in terms of Green's functions and the solutions with regular and irregular boundary conditions. The constructed energy-momentumdependent local potential with regular boundary condition is real while that for the irregular boundary condition is complex in nature. The phase function method is exploited to compute elastic scattering phases for the nucleon-nucleon and alpha-nucleon systems. Reasonable agreements in scattering phase shifts with experimental data are obtained, particularly, in the low energy range for the systems under consideration. The phase shifts for the imaginary parts of the potentials derived from the irregular solutions for the alpha-nucleon systems, however, give indications of resonances at very low energies.

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“…The phase function method (PFM) is an efficient tool for evaluating scattering phase shifts for quantum mechanical problems involving local and nonlocal interactions [30,33,34], For a local potential the phase function St(k,r) satisfies a first-order nonlinear differential equation [30] that reads In Figs. 1 and 4 it is observed that stronger repulsive cores develop in the SQM generated p-and d-wave interactions than their .s-wave counterparts.…”

Section: Computation Of Phase Shifts and Discussionmentioning

confidence: 99%

Higher partial-wave potentials from supersymmetry-inspired factorization and nucleon-nucleus elastic scattering

Laha

Bhoi

2015

Phys. Rev. C

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A simple potential model of the Hulthen type without spin-orbit coupling is considered as the ground-state interaction, and in conjunction with supersymmetric quantum mechanics, higher partial-wave interactions are developed to study the scattering of nucleons from light nuclei. The phase function method is adopted to deal with scattering phase shifts. Applying certain energy-dependent correction factors to our interactions, a close agreement with experimental data is obtained for the elastic scattering of nucleons from alpha particles up to 12 MeV.

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Phase-function method for Coulomb-distorted nuclear scattering

Cited by 30 publications

References 8 publications

Integral Transforms and Their Applications to Scattering Theory

Integral Transforms and Their Applications to Scattering Theory

Localization of a nonlocal interaction

Higher partial-wave potentials from supersymmetry-inspired factorization and nucleon-nucleus elastic scattering

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