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The Spinless Relativistic Woods-Saxon Problem

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arxiv 1401.5970 v2 pith:UJXLSWC5 submitted 2014-01-23 hep-ph math-phmath.MPnucl-thquant-ph

classification hep-phmath-phmath.MPnucl-thquant-ph
keywords equationproblemrelativisticspinlesswoods-saxonbethe-salpeterboundconsiderations
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Motivated by the observation of a recent renewal of rather strong interest in the description of bound states by (semi-) relativistic equations of motion, we revisit, for the example of the Woods-Saxon interactions, the eigenvalue problem posed by the spinless Salpeter equation and recall various elementary knowledge, considerations, and techniques that practitioners seeking solutions to this specific reduction of the Bethe-Salpeter equation may find helpful.

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Cited by 1 Pith paper

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  1. Semirelativistic Bound States: (Pseudo-) Spinless-Salpeter Approaches Reassessed

    hep-ph 2019-08 conditional novelty 2.0 of 10

    A proceedings review that applies rigorous spectral bounds to semirelativistic Hamiltonians with generalized Hellmann potentials and warns against pseudo-spinless-Salpeter approximations.

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