Minimally coupled fermion-antifermion pairs via exponentially decaying potential
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| author | Guvendi, Abdullah Dogan, Semra Gurtas Mustafa, Omar |
| author_facet | Guvendi, Abdullah Dogan, Semra Gurtas Mustafa, Omar |
| contents | In this study, we explore how a fermion-antifermion ($f\overline{f}$) 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 $f\overline{f}$ systems are unstable and decay over time, with the decay time depending on the Compton wavelength of the fermions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02681 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Minimally coupled fermion-antifermion pairs via exponentially decaying potential Guvendi, Abdullah Dogan, Semra Gurtas Mustafa, Omar Quantum Physics In this study, we explore how a fermion-antifermion ($f\overline{f}$) 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 $f\overline{f}$ systems are unstable and decay over time, with the decay time depending on the Compton wavelength of the fermions. |
| title | Minimally coupled fermion-antifermion pairs via exponentially decaying potential |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2408.02681 |