Feshbach-Villars formalism and pion-nucleon scattering
- 1 April 1980
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review C
- Vol. 21 (4), 1480-1487
- https://doi.org/10.1103/physrevc.21.1480
Abstract
The Feshbach-Villars Hamiltonian formulation of the Klein-Gordon equation is used as the basis for a scattering theory for relativistic, spin-zero, particles. Time dependent and time independent scattering theories are developed. The time independent theory is used as the framework for a separable potential model for elastic scattering in waves. This potential leads to a matrix which has the right and left hand cuts associated with two-particle unitarity and crossing, respectively, as well as the direct and crossed nucleon poles with the proper residues. The effects of nucleon recoil are included. With a particular choice of the form factors in the potential, the Chew-Low matrix is reproduced.
Keywords
This publication has 31 references indexed in Scilit:
- The effect of nuclear motion on mesonic atom energiesPhysics Letters B, 1975
- Energy-dependent separable potentialsPhysical Review C, 1974
- Off-shell πN amplitudes via a multichannel separable potentialAnnals of Physics, 1974
- Intermediate-energy pion-nucleus scattering assuming a separable fixed-scatterer pion-nucleon interactionPhysical Review C, 1974
- Transition Operator for Matrix Potentials: An Application to the Pion-Nucleon InteractionPhysical Review C, 1973
- Coupled channel approach to the off-shell transition matrixPhysics Letters B, 1973
- Pion-Nucleon Potentials for Use in Low-Energy Nuclear PhysicsPhysical Review C, 1972
- Absorptive Separable Potentials Constructed fromπNDataPhysical Review D, 1972
- Elementary Relativistic Wave Mechanics of Spin 0 and Spin 1/2 ParticlesReviews of Modern Physics, 1958
- Scattering of Mesons by Light NucleiPhysical Review B, 1955