https://doi.org/10.1140/epjc/s10052-024-13181-y
Regular Article – Theoretical Physics
Minimally coupled fermion–antifermion pairs via exponentially decaying potential
1
Department of Basic Sciences, Erzurum Technical University, 25050, Erzurum, Turkey
2
Department of Medical Imaging Techniques, Hakkari University, 30000, Hakkari, Turkey
3
Department of Physics, Eastern Mediterranean University, G. Magusa, 99628, North Cyprus, Mersin 10, Turkey
b
semragurtasdogan@hakkari.edu.tr
Received:
11
May
2024
Accepted:
31
July
2024
Published online:
12
August
2024
In this study, we explore how a fermion–antifermion (
) pair interacts via an exponentially decaying potential. Using a covariant one-time two-body Dirac equation, we examine their relative motion in a three-dimensional flat background. Our approach leads to coupled equations governing their behavior, resulting in a general second-order wave equation. Through this, we derive analytical solutions by establishing quantization conditions for pair formation, providing insights into their dynamics. Notably, we find that such interacting systems are unstable and decay over time, with the decay time depending on the Compton wavelength of the fermions.
© The Author(s) 2024
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Funded by SCOAP3.
