Singular Potentials and Inelasticity

摘要

We show that attractive singular potentials -α_s/r~5, s≥2, can be regularized by an infinitesimal imaginary addition to the interaction strength α_s = Re α_s +- i0. Such a procedure enables the unique definition of the scattering observables and is equal to an absorption (creation) of the particles in the origin. We discuss the physical sense of such a regularization as well as a possible application of the developed formalism to the systems with a short-range annihilation.