Influence of nuclear structure on the characteristics of light pionic atoms

Abstract

An extended version of the standard pion-nucleus optical potential is presented using the momentum-space formulation of the multiple scattering theory. This potential is used for studying the in6uence of nonlocal effects and nuclear structure on the characteristics of light pionic atoms. A method is suggested to treat the long-range two-nucleon correlations involved in the second-order optical potential. Particularly, the spin-orbital Fermi motion correction to the 6rst-order optical potential, the center-of-mass correlations, and the spin-isospin corrections to the second-order optical potential are discussed in some detail. The results are presented in comparison with the experimental data for the 1s and 2p levels of light pionic atoms up to Ca. PACS number(s): 25.80. -e, 36.10.Gv

Separable potential model for K-N interactions at low energies

“…We developed a precise method of computing the meson-nuclear bound states in momentum space. The method was already applied to pionic atoms [24] and its multichannel version was used to calculate the 1s level characteristics of pionic hydrogen [25]. Here we just remark that our approach is based on the construction of the Jost matrix and involves the solution of the Lippman-Schwinger equation for the transition amplitudes between various channels.…”