Abstract
Elastic and inelastic cross-sections for pion scat tering on 12 C at pion kinetic energy ranging from 50 to 260 MeV are computed using three independent methods of π ± -nucleus optical potential, the 3 α-particle model of the nucleus, the equivalent loca l Kisslinger potential and the Laplacian one. Reasonable fits to the measured values are obtained for 12 C without adjusting free parameters. The ability of these methods to account for elastic, in elastic, total and reaction cross-section data are somewhat similar. The Kisslinger-based local potent ial is the more suitable for describing the elastic and inelastic cross-sections of π ± -nucleus scattering . It seems that the 3 α -particle model of 12 C is not useful in the description of pion scattering on 12 C at least in the ∆-resonance region.
Highlights
12C is a typical nucleus with the α-particle structure
Local πnucleus optical potential was constructed based on the α-particle model of the 12C nucleus[1] where the π-α amplitude was directly obtained from fitting the experimental data
The aim of the present work is to calculate the angular distributions of the differential cross-sections of the π± elastically and inelastically scattered to the lowest 2+ and 3- states in 12C in the energy range of 50 to 260 MeV, using three independent methods of π±nucleus optical potential, the 3α-particle model of the nucleus[1], the local-equivalent Kisslinger potential[4] and the Laplacian local potential[3]
Summary
12C is a typical nucleus with the α-particle structure. It is considered to consist of three α-particles and these α-particles basically retain the feature of a free α-particle. Local πnucleus optical potential was constructed based on the α-particle model of the 12C nucleus[1] where the π-α amplitude was directly obtained from fitting the experimental data It was argued in Li Qing-run[1] that the various effects indicated above would be automatically included to a certain extent in the π-α amplitudes. The aim of the present work is to calculate the angular distributions of the differential cross-sections of the π± elastically and inelastically scattered to the lowest 2+ and 3- states in 12C in the energy range of 50 to 260 MeV, using three independent methods of π±nucleus optical potential, the 3α-particle model of the nucleus[1], the local-equivalent Kisslinger potential[4] and the Laplacian local potential[3]. The total and reaction cross-section for these reactions are calculated and compared to the corresponding ones estimated by others
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