Eikonal Approximation for Inelastic Processes
- 1 August 1971
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 4 (3), 840-848
- https://doi.org/10.1103/physrevd.4.840
Abstract
The eikonal approximation for the contributions to inelastic scattering from arbitrarily crossed ladder graphs is considered. The particle represented by one of the "sidepieces" of the ladders is allowed to change its state and mass at each rung; the other sidepiece particle is restricted to have at most one change of state, and that only if its elastic interactions are the same in the two states. When the denominators of the latter sidepiece can be linearized, the amplitudes reduce to forms essentially identical to those found in nonrelativistic coupled-channel potential theory. This result is independent of the ratio of the energy to the sidepiece mass and connects smoothly the nonrelativistic and extreme relativistic regimes. Its implications for absorptive models are discussed briefly.Keywords
This publication has 18 references indexed in Scilit:
- Relativistic Eikonal ApproximationPhysical Review D, 1971
- Relativistic Eikonal ExpansionPhysical Review D, 1970
- Validity of the Relativistic Eikonal ApproximationPhysical Review D, 1970
- The optical limit of relativistic scatteringIl Nuovo Cimento A (1971-1996), 1969
- Eikonal Approximation in Quantum Field TheoryPhysical Review B, 1969
- Impact Factor and Exponentiation in High-Energy Scattering ProcessesPhysical Review B, 1969
- Relativistic Eikonal ExpansionPhysical Review Letters, 1969
- Scattering Amplitudes in Quantum Electrodynamics at Infinite EnergyPhysical Review Letters, 1969
- High-Energy Nucleon Scattering and Electromagnetic Form FactorsPhysical Review B, 1969
- Field-Theoretic Formulation of the Optical Model at High EnergiesPhysical Review B, 1966