Singular potentials and annihilation
Singular potentials and annihilation
We discuss the relation between attractive singular potentials $\ensuremath{-}{\ensuremath{\alpha}}_{s}{/r}^{s},$ $s>~2,$ and inelasticity. We show that attractive singular potentials can be regularized by an infinitesimal imaginary addition to the interaction strength ${\ensuremath{\alpha}}_{s}=\mathrm{Re}{\ensuremath{\alpha}}_{s}\ifmmode\pm\else\textpm\fi{}i0.$ Such a procedure enables the unique definition of the scattering observables and is equal to an absorption (creation) of …