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

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

2005-03-25

arxiv.org/abs/physics/0503196v2

Physical Review C 75, 064002 (2007)

Physics

Atomic Physics

Revtex, 9 pages, 4 figures, published version

Scientific paper

10.1103/PhysRevC.75.064002

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.

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