Minimally coupled fermion–antifermion pairs via exponentially decaying potential

Guvendi A., Gurtas Dogan S., Mustafa O.

EUROPEAN PHYSICAL JOURNAL C, vol.84, no.801, pp.1-7, 2024 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 84 Issue: 801
  • Publication Date: 2024
  • Doi Number: 10.1140/epjc/s10052-024-13181-y
  • Journal Name: EUROPEAN PHYSICAL JOURNAL C
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chemical Abstracts Core, Communication Abstracts, INSPEC, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.1-7
  • Hakkari University Affiliated: Yes

Abstract

In this study, we explore how a fermion– antifermion ( 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 f systems are unstable and decay over time, with the decay time depending on the Compton wavelength of the fermions.