Scattering of Dirac particles from non-local separable potentials: the eigenchannel approach

Abstract

An application of the new formulation of the eigenchannel method [R. Szmytkowski, Ann. Phys. (N.Y.) {\bf 311}, 503 (2004)] to quantum scattering of Dirac particles from non-local separable potentials is presented. Eigenchannel vectors, related directly to eigenchannels, are defined as eigenvectors of a certain weighted eigenvalue problem. Moreover, negative cotangents of eigenphase-shifts are introduced as eigenvalues of that spectral problem. Eigenchannel spinor as well as bispinor harmonics are expressed throughout the eigenchannel vectors. Finally, the expressions for the bispinor as well as matrix scattering amplitudes and total cross section are derived in terms of eigenchannels and eigenphase-shifts. An illustrative example is also provided.

Revtex, 9 pages, 4 figures, published version

References in corpus (5)

• Extension of the full-folding optical model for nucleon-nucleus scattering with applications up to 1.5 GeV
• Low Momentum Scattering in the Dirac Equation
• Scattering phase shift for relativistic exponential-type separable potentials
• The Separable Kernel of Nucleon-Nucleon Interaction in the Bethe-Salpeter Approach
• Non-relativistic quantum scattering from non-local separable potentials: the eigenchannel approach