Pion-induced single charge exchange and nuclear structure

Abstract

The influence of nuclear structure upon calculated angular distributions and cross sections of pion-induced single charge exchange on light nuclei is studied within the framework of Glauber theory. Results obtained using simple shell-model configurations as well as more realistic shellmodel wave functions which involve particle-hole components where appropriate are compared. In all cases the use of better wave functions enhance the ( π +, π 0) cross sections and suppress ( π −, π 0) cross sections. The effects of using realistic single-particle wave functions generated from WoodsSaxon potentials and the effects of the antisymmetry of the nuclear wave functions are also investigated. Renormalisation of the properties of the Δ ( 3 2 , 3 2 ) in the nucleus has also been considered and is shown to be essential to understand the behaviour of the experimental integrated cross section. Results are given for (π +, π 0) on 7 Li, 13 C, 15 N, 16 O, 17 O and 39 K and (π −, π 0) on 13 C, 15 N and 17 O leading to the ground state and excited states of the final nucleus. A comparison with experiment is made where possible.