THE ANALYTIC T-MATRIX FOR THE HULTHÉN POTENTIAL IN ALL PARTIAL WAVES

Analytical expression for the Hulthén off-shell T-matrix in all partial waves is constructed in its maximal reduced form. As a basic requirement the off-shell solutions and Jost function are first developed by following the differential equation approach to the problem together with judicious exploi...

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Bibliographic Details
Published inReports on mathematical physics Vol. 88; no. 3; pp. 295 - 311
Main Authors SAHOO, P., LAHA, U., KHIRALI, B., BEHERA, A.K.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.12.2021
Subjects
Hulthén potential
Jost function
off-shell solutions
T-matrix
T-matrix
off-shell solutions
Jost function
Hulthén potential
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Summary:Analytical expression for the Hulthén off-shell T-matrix in all partial waves is constructed in its maximal reduced form. As a basic requirement the off-shell solutions and Jost function are first developed by following the differential equation approach to the problem together with judicious exploitation of the properties of certain special functions of mathematical physics. The off-shell T-matrix is found to be in order with respect to its limiting behaviours and off-shell unitarity.
ISSN:0034-4877
1879-0674
DOI:10.1016/S0034-4877(21)00082-3