Year: 2024
Type: article
Abstract: In this study, we explore how a fermion–antifermion ( $$f\overline{f}$$ f f ¯ ) 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 $$f\overline{f}$$ f f ¯ systems are unstable and decay over time, with the decay time depending on the Compton wavelength of the fermions.
Source: The European Physical Journal C
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4401521034