The cross section of the charge-exchange ${(}^3$He,t) reaction in a Δ-isobar region was calculated for a finite nucleus in terms of a relativistic nuclear response function. The medium effects modifying a Δ and a pion propagation were considered for a finite size nucleus. The Glauber approach was used for distortion treatment of a ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ and a triton in the initial and final states. The effects determining the cross section, the peak position, and its width are discussed. A large displacement width for the Δ-hole excitations and a considerable contribution of coherent pion production were found for the reaction on ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$.

• Received 15 December 1992

DOI:https://doi.org/10.1103/PhysRevC.48.357