Research Article Open Access

Different Methods for Pion-nucleus Optical Potential

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

Abstract

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 3α-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 3α-particle model of 12C is not useful in the description of pion scattering on 12C at least in the Δ-resonance region.

American Journal of Applied Sciences
Volume 2 No. 5, 2005, 932-938

DOI: https://doi.org/10.3844/ajassp.2005.932.938

Submitted On: 17 February 2005 Published On: 31 May 2005

How to Cite: Khallaf, S. A. & Ibrahim, A. A. (2005). Different Methods for Pion-nucleus Optical Potential. American Journal of Applied Sciences, 2(5), 932-938. https://doi.org/10.3844/ajassp.2005.932.938

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Keywords

  • Pion-nucleus Optical Potential
  • 3α-particle Model
  • Δ-resonance Region