Fermion-Antifermion Pair Exposed to Magnetic Flux in an Optical Wormhole

Guvendi A., Gürtaş Doğan S.

Few-Body Systems, vol.64, no.3, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 64 Issue: 3
  • Publication Date: 2023
  • Doi Number: 10.1007/s00601-023-01851-8
  • Journal Name: Few-Body Systems
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Hakkari University Affiliated: Yes


We introduce an exactly soluble model for a fermion-antifermion pair exposed to magnetic flux in the hyperbolic wormhole. This model is based on an analytical solution of the corresponding two-body Dirac equation. We show a non-perturbative wave equation for such a pair in exactly soluble form. This makes it possible to acquire a complete energy spectrum. Results clearly show the effects of the magnetic flux as well as the wormhole background on the dynamics of the considered pair and such a composite system may behave as a single fermion or a single boson by depending on the magnetic flux. This implies that one can control the dynamics of such a pair in an optical background with constant negative Gaussian curvature.