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Scattering of a Spin-\({\frac{1}{2}}\) Particle Off a Spin-0 Target in a Simple Three-Dimensional Basis

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Abstract

Scattering of a spin-\({\frac{1}{2}}\) particle off a spin-0 target is formulated based on a simple three-dimensional momentum-spin basis. The azimuthal behaviour of both the potential and the T-matrix elements leads to a set of integral equations for the T-matrix elements in two variables only, namely the momentum’s magnitude and the scattering angle. Some symmetry relations for the potential and the T-matrix elements reduce the number of the integral equations to be solved by a factor of one half. A complete list of the spin observables in terms of the two-dimensional T-matrix elements is presented.

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Authors and Affiliations

  1. Departemen Fisika, Universitas Indonesia, Depok, 16424, Indonesia

    Imam Fachruddin & Agus Salam

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  1. Imam Fachruddin
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  2. Agus Salam
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Correspondence to Imam Fachruddin.

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Fachruddin, I., Salam, A. Scattering of a Spin-\({\frac{1}{2}}\) Particle Off a Spin-0 Target in a Simple Three-Dimensional Basis. Few-Body Syst 54, 221–224 (2013). https://doi.org/10.1007/s00601-012-0353-y

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  • DOI: https://doi.org/10.1007/s00601-012-0353-y

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