Coulomb half-shell t matrix

Journal Article · Sun Apr 01 04:00:00 EST 1984 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.29.1865· OSTI ID:6813808

Talukdar, B; Ghosh, D K; Sasakawa, T

The lth--partial-wave Coulomb half-off-shell t matrix t/sub l//sup c/(k,q,k/sup 2/) is expressed in terms of hypergeometric functions which are polynomials. The expression is used to compute t/sub l//sup c/(k,q,k/sup 2/) as a function of the off-shell momentum q for two laboratory energies E/sub lab/( = 2k/sup 2/) = 10 and 20 MeV. Results are presented for l = 0 to 10. Our numbers refer to repulsive Coulomb potential encountered in the case of p-p scattering. It is found that in addition to the on-shell discontinuity t/sub l//sup c/(k,q,k/sup 2/) exhibits a singularity as q..-->..0 for higher partial waves.

• Research Organization: Department of Physics, Visva-Bharati University, Santiniketan 731235, West Bengal, India
• OSTI ID: 6813808
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 29:4; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640304* -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
74 ATOMIC AND MOLECULAR PHYSICS
AMPLITUDES
BARYON-BARYON INTERACTIONS
COULOMB FIELD
DISTANCE
ELECTRIC FIELDS
FUNCTIONS
HADRON-HADRON INTERACTIONS
INTERACTION RANGE
INTERACTIONS
JOST FUNCTION
MATRICES
NUCLEON-NUCLEON INTERACTIONS
PARTIAL WAVES
PARTICLE INTERACTIONS
PROTON-NUCLEON INTERACTIONS
PROTON-PROTON INTERACTIONS
S MATRIX
SCATTERING AMPLITUDES
SINGULARITY