Alternative partial wave representations for ultrarelativistic Dirac potential scattering

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

DOI:https://doi.org/10.1103/PhysRevC.25.2583· OSTI ID:5122710

Friar, J L; Wallace, S J

After reviewing briefly the point Coulomb scattering problem in the nonrelativistic, Klein-Gordon, and Dirac cases, the form of the ultrarelativistic vector (Coulomb-like) potential scattering amplitude f/sub 0/ is developed in partial wave form for the ''spinor'' representation. The latter is one of a variety of different Dirac scattering amplitudes, and arises naturally in perturbation theory as the coefficient of a spinor matrix element. Unlike the traditional amplitudes, f/sub 0/ is not required to vanish at theta = ..pi.., which makes it the natural choice for eikonal treatments. This representation is also the one closest to the usual nonrelativistic and Klein-Gordon amplitudes. Summation by parts, a potentially powerful rearrangement technique, is used to verify several previously known relationships among the various amplitudes, and illustrates the problems associated with summing poorly convergent series.

• Research Organization: Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
• OSTI ID: 5122710
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 25:5; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
653007 -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
BASIC INTERACTIONS
CHARGED-PARTICLE REACTIONS
COULOMB SCATTERING
DIFFERENTIAL EQUATIONS
DIRAC APPROXIMATION
EIKONAL APPROXIMATION
ELASTIC SCATTERING
ELECTROMAGNETIC INTERACTIONS
ELECTRON REACTIONS
EQUATIONS
INTERACTIONS
KLEIN-GORDON EQUATION
LEPTON REACTIONS
MATRIX ELEMENTS
NUCLEAR REACTIONS
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
PHASE SHIFT
POTENTIAL SCATTERING
SCATTERING
SCATTERING AMPLITUDES
SPINORS
WAVE EQUATIONS