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

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Abstract

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.

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Acknowledgements

The authors thank the kind reviewer for careful reading, constructive comments and important questions.

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Authors and Affiliations

  1. Department of Basic Sciences, Faculty of Science, Erzurum Technical University, 25050, Erzurum, Turkey

    Abdullah Guvendi

  2. Department of Medical Imaging Techniques, Hakkari University, 30000, Hakkari, Turkey

    Semra Gurtas Dogan

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  1. Abdullah Guvendi
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  2. Semra Gurtas Dogan
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Correspondence to Semra Gurtas Dogan.

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Guvendi, A., Dogan, S.G. Fermion-Antifermion Pair Exposed to Magnetic Flux in an Optical Wormhole. Few-Body Syst 64, 65 (2023). https://doi.org/10.1007/s00601-023-01851-8

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