Dependence of pion-nucleus total cross-section on the nuclear density and pion-nucleon off-shell amplitude
Total cross-section forπ+, using the high energy approximation, have been calculated for12C and32S at various energies around the (3, 3) resonance in the free pion-nucleon system. It is observed that the shift in energy of the position of the maximum in the pion-nucleus cross-section with respect to that in the free pion-nucleon system depends sensitively on the shape of the nuclear density. Using the realistic density it is further found that the shift due to the off-shell behaviour of the pion-nucleon scattering amplitude is very small. This observation is different from that reported in the literature by other authors.
Volume 96, 2022
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