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Local optical model studies of pion-nucleus scattering

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Local optical model calculations have been carried out for elastic and inelastic scattering of [iopmath latex="$\pi^\pm$"] ± [/iopmath] from [iopmath latex="$^{40, 42, 44, 48}$"] 40,42,44,48 [/iopmath] Ca and 54Fe at pion energies atop, above and below the [iopmath latex="$\Delta$"] [/iopmath] resonance. The elastic studies resulted in considerable ambiguities in the parameter values. Using the best-fit parameters, zero-range DWBA calculations have been carried out for inelastic scattering of [iopmath latex="$\pi^\pm$"] ± [/iopmath] leading to the lowest 2 [iopmath latex="$^ + $"] + [/iopmath] and 3 [iopmath latex="$^-$"] - [/iopmath] states of these nuclei. Transition strengths extracted from inelastic scattering, compared with known values, remove the ambiguity found for elastic scattering, making the simple model useful for other reaction studies with pions.

Document Type: Miscellaneous

Affiliations: 1: Department of Physics, Bangladesh Institute of Technology, Khulna, Bangladesh 2: Bangladesh Open University, Dhaka, Bangladesh 3: Department of Physics. University of Dhaka, Dhaka, Bangladesh 4: Nuclear Physics Laboratory, University of Colorado, Boulder, CO 80309-0446, USA

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