Relativistic wave functions for pion-nucleon and pion-nucleus scattering
- 1 August 1974
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review C
- Vol. 10 (2), 435-444
- https://doi.org/10.1103/PhysRevC.10.435
Abstract
We use a modification of the method of Blankenbecler and Sugar to discuss various reductions of the Bethe-Salpeter equation to three-dimensional equations. Pion-nucleon and pion-nucleus scattering are treated, and the advantages of the use of different Green's functions are indicated. For the case of pion-nucleus scattering we propose a relativistic impulse approximation for use in construction of a relativistic optical model. The relations of the wave functions resulting from the solution of the three-dimensional equations to the Bethe-Salpeter wave function is indicated. Our method should be particularly useful in providing a frame-work in which phenomenological studies of the off-shell pion-nucleon matrices may be made, since the relationship of our (relativistic) three-dimensional equations to a manifestly covariant theory has been made explicit.
Keywords
This publication has 17 references indexed in Scilit:
- Relativistic center-of-mass variables and relativistic corrections to phenomenological HamiltoniansPhysical Review D, 1974
- A density expansion of the pion-nucleus optical potential. II. Second order termsAnnals of Physics, 1973
- Pion-Nucleus Scattering in the (3,3) Resonance RegionPhysical Review C, 1973
- Absorptive Separable Potentials Constructed fromπNDataPhysical Review D, 1972
- Field-Theoretical Nucleon-Nucleon PotentialPhysical Review D, 1970
- Three-Dimensional Covariant Integral Equations for Low-Energy SystemsPhysical Review B, 1969
- Bound States of a Relativistic Two-Body Hamiltonian: Comparison with the Bethe-Salpeter EquationPhysical Review B, 1967
- Bakamjian-Thomas Theory and the Serber ModelPhysical Review B, 1967
- Bound States of a Relativistic Two-Body Hamiltonian; Comparison with the Bethe-Salpeter EquationPhysical Review B, 1967
- Relativistic Particle Systems with InteractionPhysical Review B, 1961