Muon precession from the aspect of Dirac equations
In this paper, we propose a method to compute the muon anomalous precession frequency through solving the wave functions of the Dirac equations straightforwardly. The Lorentz violation terms are also considered. Our method is different from the traditional two-step algorithm in the literature, with...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2024-02-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321323003553 |
| _version_ | 1797324424610840576 |
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| author | Jinbo He Lei Ming Yi-Lei Tang Qiankang Wang Hong-Hao Zhang |
| author_facet | Jinbo He Lei Ming Yi-Lei Tang Qiankang Wang Hong-Hao Zhang |
| author_sort | Jinbo He |
| collection | DOAJ |
| description | In this paper, we propose a method to compute the muon anomalous precession frequency through solving the wave functions of the Dirac equations straightforwardly. The Lorentz violation terms are also considered. Our method is different from the traditional two-step algorithm in the literature, with the first step to extract the anomalous magnetic momentum factors through the Fouldy-Wouthuysen transformation or Born approximation comparison methods regarding the muon particle as a “quantum” object, and the second step to utilize the Thomas-Bargmann-Michel-Telegdi formula regarding the muon particle as a “classical” point-like object. Compared with the literature, the method we developed is more consistent and the Lorentz violation terms are taken into account in a unified and straightforward frameset, and expand perturbatively up to the lowest non-trivial order and find out that only b3, c11, c22, H12′ and d30 affect the precession up to this order. |
| first_indexed | 2024-03-08T05:55:57Z |
| format | Article |
| id | doaj.art-bd9cd6fc40ea439291bb94fe2bdac31a |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-03-08T05:55:57Z |
| publishDate | 2024-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-bd9cd6fc40ea439291bb94fe2bdac31a2024-02-05T04:30:51ZengElsevierNuclear Physics B0550-32132024-02-01999116428Muon precession from the aspect of Dirac equationsJinbo He0Lei Ming1Yi-Lei Tang2Qiankang Wang3Hong-Hao Zhang4School of Physics, Sun Yat-Sen University, Guangzhou 510275, ChinaSchool of Physics, Sun Yat-Sen University, Guangzhou 510275, ChinaSchool of Physics, Sun Yat-Sen University, Guangzhou 510275, ChinaCorresponding author.; School of Physics, Sun Yat-Sen University, Guangzhou 510275, ChinaSchool of Physics, Sun Yat-Sen University, Guangzhou 510275, ChinaIn this paper, we propose a method to compute the muon anomalous precession frequency through solving the wave functions of the Dirac equations straightforwardly. The Lorentz violation terms are also considered. Our method is different from the traditional two-step algorithm in the literature, with the first step to extract the anomalous magnetic momentum factors through the Fouldy-Wouthuysen transformation or Born approximation comparison methods regarding the muon particle as a “quantum” object, and the second step to utilize the Thomas-Bargmann-Michel-Telegdi formula regarding the muon particle as a “classical” point-like object. Compared with the literature, the method we developed is more consistent and the Lorentz violation terms are taken into account in a unified and straightforward frameset, and expand perturbatively up to the lowest non-trivial order and find out that only b3, c11, c22, H12′ and d30 affect the precession up to this order.http://www.sciencedirect.com/science/article/pii/S0550321323003553 |
| spellingShingle | Jinbo He Lei Ming Yi-Lei Tang Qiankang Wang Hong-Hao Zhang Muon precession from the aspect of Dirac equations Nuclear Physics B |
| title | Muon precession from the aspect of Dirac equations |
| title_full | Muon precession from the aspect of Dirac equations |
| title_fullStr | Muon precession from the aspect of Dirac equations |
| title_full_unstemmed | Muon precession from the aspect of Dirac equations |
| title_short | Muon precession from the aspect of Dirac equations |
| title_sort | muon precession from the aspect of dirac equations |
| url | http://www.sciencedirect.com/science/article/pii/S0550321323003553 |
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