Multiple scattering and eikonal pole approximation

Journal Article · Fri Jan 01 04:00:00 EST 1982 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.25.61· OSTI ID:5540784

Mandelzweig, V B; Wallace, S J

The eikonal pole approximation to the multiple scattering Watson series is introduced and explored. For noncommuting potentials this approximation naturally defines the ordering to the z coordinates of the scatterers and for commuting potentials leads to Glauber multiple scattering series. It is shown that the cancellations in the Watson expansion which produce the usual form of Glauber theory are between the infinite series of reflection terms and the off-pole contribution of nonreflective ones. This generalizes the earlier result on cancellations for a two-particle target to targets of arbitrary size.

• Research Organization: Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
• OSTI ID: 5540784
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 25:1; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
EIKONAL APPROXIMATION
EQUATIONS
FUNCTIONS
GREEN FUNCTION
HAMILTONIANS
INTEGRAL EQUATIONS
LIPPMANN-SCHWINGER EQUATION
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRICES
MULTIPLE SCATTERING
NUCLEAR MODELS
POTENTIALS
QUANTUM OPERATORS
S MATRIX
SCATTERING
SHELL MODELS