Minimally coupled fermion–antifermion pairs via exponentially decaying potential
EUROPEAN PHYSICAL JOURNAL C, cilt.84, sa.801, ss.1-7, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 84 Sayı: 801
- Basım Tarihi: 2024
- Doi Numarası: 10.1140/epjc/s10052-024-13181-y
- Dergi Adı: EUROPEAN PHYSICAL JOURNAL C
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chemical Abstracts Core, Communication Abstracts, INSPEC, zbMATH, Directory of Open Access Journals
- Sayfa Sayıları: ss.1-7
- Hakkari Üniversitesi Adresli: Evet
Özet
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.