Neutron pick-up pion transfer reactions for the formation of deeply bound pionic atoms in ²⁰⁸Pb

We study $(n,d)$ and (d,$^3$He) reactions on $^{208}Pb$ leading to deeply bound pionic atoms with one neutron hole being left. We develop a theoretical model to calculate cross sections of deeply bound pionic atoms and quasi-elastic pion production. The results are compared with data which have been obtained so far. We show that the theoretical model describes the data of both reactions well.