Scattering of Dirac particles from nonlocal separable potentials: The eigenchannel approach

Journal Article · Fri Jun 15 04:00:00 EDT 2007 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.75.064002· OSTI ID:21003446

Augusiak, Remigiusz ^[1]

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1. Department of Theoretical Physics and Quantum Informatics, Faculty of Applied Physics and Mathematics, Gdansk University of Technology, Narutowicza 11/12, PL 80-952 Gdansk (Poland)

An application of the new formulation of the eigenchannel method [R. Szmytkowski, Ann. Phys. (N.Y.) 311, 503 (2004)] to quantum scattering of Dirac particles from nonlocal 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.

• OSTI ID: 21003446
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 6 Vol. 75; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
EIGENVALUES
EIGENVECTORS
HARMONICS
PARTICLES
POTENTIALS
SCATTERING
SCATTERING AMPLITUDES
TOTAL CROSS SECTIONS
VECTORS