Half-shell scattering by a screened Coulomb potential

Journal Article · Wed Sep 01 04:00:00 EDT 1982 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.26.819· OSTI ID:6688638

Kok, L P; de Maag, J W; Bontekoe, T R; van Haeringen, H

We investigate the physical half-shell T matrix for scattering by a smoothly screened Coulomb potential. In particular, we study the Kowalski-Noyes half-shell extension function F/sub hs//sup tsl/(p;k) in the limit that the screening radius a tends to infinity. For the Coulomb potential the half-shell scattering cross section is a discontinuous (step) function of the off-shell momentum p at the on-shell point p = k. For the screened Coulomb potential (with screening of the Hulthen form, for l = 0) we find that the half-shell cross section exhibits almost a step behavior near p = k: Its magnitude varies dramatically in an interval, the width of which is of the order of the inverse screening radius a. We discuss physical implications of this result.

• Research Organization: Institute for Theoretical Physics, University of Groningen, Groningen, The Netherlands
• OSTI ID: 6688638
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 26:3; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BASIC INTERACTIONS
COULOMB SCATTERING
CROSS SECTIONS
ELASTIC SCATTERING
ELECTROMAGNETIC INTERACTIONS
FUNCTIONS
INTERACTIONS
JOST FUNCTION
MATHEMATICAL MODELS
MATRICES
MATRIX ELEMENTS
MECHANICS
NUCLEAR MODELS
QUANTUM MECHANICS
S MATRIX
SCATTERING
SHELL MODELS