Integral equations for Coulomb scattering wave functions and Coulomb asymptotic states

Journal Article · Mon Jul 01 04:00:00 EDT 1985 · Theor. Math. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01034827· OSTI ID:5081021

Mokhamedzhanov, A M

This paper investigates the connection between the homogeneous and inhomogeneous equations for the Coulomb scattering wave function of two particles. It is shown that the form of the equation depends on the method used to regularize the divergent integrals in the homogeneous part of the equation. This result is a generalization of the result obtained by Van Haeringen for orbital angular momentum equal to zero. It is also shown to be helpful to introduce a Coulomb asymptotic state in the momentum representation; this is the inhomogeneous part of the equation and contains all the principal information about the forward scattering of charged particles. The Coulomb asymptotic states can be used to find the behavior of the reaction amplitudes of charged particles near singularities in cos 0, where 0 is the scattering angle.

• Research Organization: Sci.-Res. Institute of Nuclear Physics, State Univ., Moscow
• OSTI ID: 5081021
• Journal Information: Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 62:1; ISSN TMPHA
• Country of Publication: United States
• Language: English

Related Subjects

645500* -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANGULAR MOMENTUM
ANGULAR MOMENTUM OPERATORS
BASIC INTERACTIONS
BOUNDARY CONDITIONS
CHARGED PARTICLES
CHARGED-PARTICLE REACTIONS
COULOMB SCATTERING
DIRECT REACTIONS
ELASTIC SCATTERING
ELECTROMAGNETIC INTERACTIONS
EQUATIONS
FUNCTIONS
INTEGRAL EQUATIONS
INTERACTIONS
KNOCK-OUT REACTIONS
MATHEMATICAL OPERATORS
NUCLEAR REACTIONS
ORBITAL ANGULAR MOMENTUM
ORBITAL MOMENTUM OPERATORS
PARTIAL WAVES
QUANTUM OPERATORS
QUASI-ELASTIC SCATTERING
QUASI-FREE REACTIONS
SCATTERING
SCATTERING AMPLITUDES
SINGULARITY
WAVE FUNCTIONS