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Phys. Rev. A 74, 012710 (2006) [8 pages]

Off-shell Jost solution for a Coulomb-like potential

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U. Laha
Department of Physics, National Institute of Technology, Jamshedpur-831014, India

Received 7 February 2005; published 13 July 2006

Thetheory of ordinary differential equations together with judicious use ofboundary conditions and certain properties of higher transcendental functions isexploited to derive a useful analytical expression for the Coulomb-YamaguchiJost solution through an r-space approach to the problem. Notethat the off-shell Jost solution is expressed in its maximalreduced form involving confluent and Gaussian hypergeometric functions. As anapplication of the Jost solution the off-shell T matrix isalso expressed in terms of Gaussian hypergeometric functions.

©2006 The American Physical Society

URL:	http://link.aps.org/doi/10.1103/PhysRevA.74.012710
DOI:	10.1103/PhysRevA.74.012710
PACS:	03.65.Nk; 24.10.-i 03.65.Nk Scattering theory in quantum mechanics 24.10.-i Nuclear reaction models and methods YEAR: 2006
KEYWORDS:	differential equations, Gaussian distribution, functional analysis, geometry

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