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The Spinless Relativistic Yukawa Problem

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arxiv 1410.5241 v1 pith:74OP3L47 submitted 2014-10-20 hep-ph math-phmath.MPnucl-thquant-ph

Wolfgang Lucha , Franz F. Schöberl This is my paper · ORCID
classification hep-phmath-phmath.MPnucl-thquant-ph
keywords constituentsequationproblemrelativisticspinlessyukawaapplyingbound
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Noticing renewed or increasing interest in the possibility to describe semirelativistic bound states (of either spin-zero constituents or, upon confining oneself to spin-averaged features, constituents with nonzero spin) by means of the spinless Salpeter equation generalizing the Schr\"odinger equation towards incorporation of effects caused by relativistic kinematics, we revisit this problem for interactions between bound-state constituents of Yukawa shape, by recalling and applying several well-known tools enabling to constrain the resulting spectra.

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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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