Hadronic atoms in momentum space

A momentum space method for hadronic atoms is developed to incorporate relativistic, nonlocal, and absorptive hadron-nucleus interactions. The logarithmic singularity due to the Coulomb interaction is treated by Lande's subtraction technique. Vacuum polarization and both nuclear and pion finite-size effects are included in this momentum space method. Precision eigenvalues and eigenfunctions for the Schroedinger, relativistic Schroedinger, Klein-Gordon (of various types) and Dirac equations are calculated by use of a rapid and convenient inverse iteration method. Reliability of this novel approach is confirmed by comparison with parallel coordinate space methods. Several illustrative applications are made to simple pionic cases to demonstrate possible applications. For example, it is found that use of a correct form of the Klein-Gordon equation is crucial for pionic atom cases, since a quadratic potential term can cause an uncertainty of 40% in the optical potential parameters; to extract the pion size from pionic atom data, energy shifts must be measured to an accuracy of better than 50 eV; the finite range of the π-N interaction plays a non negligible role and, therefore, should be carefully included in the pion-nucleus interaction. A nonstatic model for kaonic atoms is presented. The R-N t matrix is developed for constructing a kaon-nucleus optical potential. The I = 0 state that includes the Λ (1405) is described as a coupled-channel problem. The three-channel, non resonant I = 1 state is simulated by a single channel with two separable potential terms. It is also shown that the resonance behavior, non locality, nuclear motion, and finite range of the RN interaction can be described with relative ease in momentum space