Calculation of the covariant pion-nucleus optical potential. I. Kinematical aspects
- 1 December 1975
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review C
- Vol. 12 (6), 1983-1993
- https://doi.org/10.1103/physrevc.12.1983
Abstract
A discussion of several kinematical schemes used in the study of pion-nucleus scattering is presented. It is shown that various kinematical ambiguities of the noncovariant theories are resolved in a covariant analysis. In particular, the use of an off-mass-shell description for the projectile and the target particles provides a degree of freedom in the kinematical description which avoids various problems present in the noncovariant analyses. We present a comparison of the angle transformations, matrix elements, and differential cross sections obtained from the different kinematical specifications. In these comparisons we have attempted to maintain a clear separation of the dynamical and kinematical assumptions, using the same pion-nucleon interaction in all the cases considered. It is found that the large angle scattering is most sensitive to the details of the kinematical description.Keywords
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