An effective singular oscillator for Duffin-Kemmer-Petiau particles with a nonminimal vector coupling: a two-fold degeneracy

Abstract

Scalar and vector bosons in the background of one-dimensional nonminimal vector linear plus inversely linear potentials are explored in a unified way in the context of the Duffin-Kemmer-Petiau theory. The problem is mapped into a Sturm-Liouville problem with an effective singular oscillator. With boundary conditions emerging from the problem, exact bound-state solutions in the spin-0 sector are found in closed form and it is shown that the spectrum exhibits degeneracy. It is shown that, depending on the potential parameters, there may or may not exist bound-state solutions in the spin-1 sector.

1 figure. arXiv admin note: substantial text overlap with arXiv:1009.1597

References in corpus (1)

• Spinless bosons embedded in a vector Duffin-Kemmer-Petiau oscillator

Cited by in corpus (7)

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• Remarks on the spin-one Duffin-Kemmer-Petiau equation in the presence of nonminimal vector interactions in (3+1) dimensions
• Relativistic quantum dynamics of scalar bosons under a full vector Coulomb interaction
• Relativistic quantum dynamics of vector bosons in an Aharonov-Bohm potential
• Quasi-exactly-solvable confining solutions for spin-1 and spin-0 bosons in (1+1)-dimensions with a scalar linear potential