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| Autori principali: | , , |
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| Natura: | Preprint |
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2023
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| Accesso online: | https://arxiv.org/abs/2308.12122 |
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| _version_ | 1866913468234334208 |
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| author | Braghin, Fabio L. Loewe, Marcelo Villavicencio, Cristian |
| author_facet | Braghin, Fabio L. Loewe, Marcelo Villavicencio, Cristian |
| contents | Weak magnetic field induced corrections for the Yukawa potential due to one pion exchange between two constituent quarks (nucleons) are presented. For that, the constant magnetic field effect on the pion propagator and on the pion form factor are taken into account. An effective gluon propagator parameterized with an effective gluon mass ($M_g\sim 0.5$\,GeV) is considered. In the limit of magnetic field weak with respect to the constituent quark mass and pion mass, analytical and semi-analytical expressions can be obtained. Different types of contributions are found, isotropic or anisotropic, dependent on the pion mass and also on the constituent quark and effective gluon masses. Overall the corrections are of the order of $2\%$ to $5\%$ of the Yukawa potential at distances close to $2$fm, and they decrease slower than the Yukawa potential. The anistropic corrections are considerably smaller than the isotropic components. A sizable splitting between results due to magnetic field dependent neutral or charged pion mass is found. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_12122 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Yukawa potential under weak magnetic field Braghin, Fabio L. Loewe, Marcelo Villavicencio, Cristian High Energy Physics - Phenomenology Nuclear Theory Weak magnetic field induced corrections for the Yukawa potential due to one pion exchange between two constituent quarks (nucleons) are presented. For that, the constant magnetic field effect on the pion propagator and on the pion form factor are taken into account. An effective gluon propagator parameterized with an effective gluon mass ($M_g\sim 0.5$\,GeV) is considered. In the limit of magnetic field weak with respect to the constituent quark mass and pion mass, analytical and semi-analytical expressions can be obtained. Different types of contributions are found, isotropic or anisotropic, dependent on the pion mass and also on the constituent quark and effective gluon masses. Overall the corrections are of the order of $2\%$ to $5\%$ of the Yukawa potential at distances close to $2$fm, and they decrease slower than the Yukawa potential. The anistropic corrections are considerably smaller than the isotropic components. A sizable splitting between results due to magnetic field dependent neutral or charged pion mass is found. |
| title | The Yukawa potential under weak magnetic field |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2308.12122 |