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Relativistic wave functions for pion-nucleon and pion-nucleus scattering

1974; American Institute of Physics; Volume: 10; Issue: 2 Linguagem: Inglês

10.1103/physrevc.10.435

1538-4497

L. S. Celenza, M. K. Liou, L. C. Liu, C. M. Shakin,

Nuclear physics research studies

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 $T$ matrices may be made, since the relationship of our (relativistic) three-dimensional equations to a manifestly covariant theory has been made explicit.NUCLEAR REACTIONS Three-dimensional covariant equations for pion-nucleon and pion-nucleus systems; relativistic multiple scattering theory.