Relativistic bound-state solutions for a non-central Schi{\"o}berg-type hyperbolic potential with double ring-shaped angular terms
Source: Originally published on arXiv quant-ph on July 21, 2026.
arXiv:2607.16265v1 Announce Type: new Abstract: Singular interactions can reshape quantum spectra by changing admissible wavefunction domains. In this study, we investigate this mechanism in the Klein--Gordon equation for a non-central Schi"oberg-type hyperbolic potential with double ring-shaped angular barriers. Equal scalar and vector couplings separate the radial and angular dynamics. We solve the angular equation exactly and treat the radial equation with the Greene--Aldrich approximation, obtaining Jacobi-polynomial wavefunctions and an implicit relativistic quantization condition. The equatorial inverse-square singularity splits configuration space into reflection-related sectors with identical angular spectra. Reducing the barrier to zero within one sector retains only odd-parity s...
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