American Journal of Applied Sciences

Different Methods for Pion-nucleus Optical Potential

S. A.E. Khallaf and A. A. Ibrahim

DOI : 10.3844/ajassp.2005.932.938

American Journal of Applied Sciences

Volume 2, Issue 5

Pages 932-938


Elastic and inelastic cross-sections for pion scattering on 12C at pion kinetic energy ranging from 50 to 260 MeV are computed using three independent methods of π± -nucleus optical potential, the 3?-particle model of the nucleus, the equivalent local Kisslinger potential and the Laplacian one. Reasonable fits to the measured values are obtained for 12C without adjusting free parameters. The ability of these methods to account for elastic, inelastic, total and reaction cross-section data are somewhat similar. The Kisslinger-based local potential is the more suitable for describing the elastic and inelastic cross-sections of π±-nucleus scattering. It seems that the 3?-particle model of 12C is not useful in the description of pion scattering on 12C at least in the ?-resonance region.


© 2005 S. A.E. Khallaf and A. A. Ibrahim. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.