Off-shell Jost solutions for Coulomb and Coulomb-like interactions in all partial waves

Journal Article · Tue Jan 15 00:00:00 EST 2013 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4776659· OSTI ID:22162717

Laha, U.; Bhoi, J. ^[1]

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1. Department of Physics, National Institute of Technology, Jamshedpur 831014 (India)

By exploiting the theory of ordinary differential equations, with judicious use of boundary conditions, interacting Green's functions and their integral transforms together with certain properties of higher transcendental functions, useful analytical expressions for the off-shell Jost solutions for motion in Coulomb and Coulomb-nuclear potentials are derived in maximal reduced form through different approaches to the problem in the representation space. The exact analytical expressions for the off-shell Jost solutions for Coulomb and Coulomb-like potentials are believed to be useful for the description of the charged particle scattering/reaction processes.

• OSTI ID: 22162717
• Journal Information: Journal of Mathematical Physics, Vol. 54, Issue 1; Other Information: (c) 2013 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
CHARGED PARTICLES
COULOMB FIELD
GREEN FUNCTION
INTEGRAL TRANSFORMATIONS
INTERACTIONS
MATHEMATICAL SOLUTIONS
NUCLEAR FORCES
NUCLEAR POTENTIAL
PARTIAL WAVES
SCATTERING
SCHROEDINGER EQUATION