2p→1sPionic Transition

Abstract

In an attempt to get better agreement between the theoretical predictions and the observed energies and widths of 2p-+ Is pion-atomic transitions, we have numerically integrated the Klein-Gordon equation assuming the optical model for the strong interaction potential. We have characterized the interaction by six s-wave and four £-wave parameters. Using the available data from B 10 to Mg 24 , we have performed a least-squares fit of the s-wave parameters. We find agreement between the observed shifts and our predictions, and the real parts of the s-wave parameters agree well with those predicted by Ericson and Ericson. However, our predicted widths vary as much as 50% from the observed widths and we find very poor agreement between the imaginary s-wave parameters and Ericson and Eric son's predictions.co o Oi as co in m oo in T^ "^ o CM co

Solution to a multichannel Bethe potential and its application to pion-nucleus reactions

“…This probability for the 1s state pions can be altered significantly both by the pion-nucleus strong interaction and by the finite charge radius of the nucleus. Early numerical studies and experimental data in pionic 2p-1s transitions (for example [1,2,3]) made clear that standard perturbation theory was not adequate for the calculation of nuclear pionic wave functions, energy level shifts and widths, even for relatively light nuclei.…”