Relativistic four-nucleon calculations with rank-one separable potential
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866916708906696704 |
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| author | Yurev, S. Bondarenko, S. |
| author_facet | Yurev, S. Bondarenko, S. |
| contents | A solution to the relativistic generalization of the four-particle integral Faddeev-Yakubovsky equation is carried out. Only states with zero orbital angular momentum, $S$ states, are considered in the calculations. A rank-one separable potential for nucleon-nucleon interaction is used to solve the two-nucleon Bethe-Salpeter equation. Calculations are carried out taking into account both "3+1" and "2+2" subchannels in the equation. The system of integral equations is solved by the iteration method and the binding energy of the helium-4 nucleus is found. The calculated results are compared with experimental data and nonrelativistic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_18865 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Relativistic four-nucleon calculations with rank-one separable potential Yurev, S. Bondarenko, S. Nuclear Theory A solution to the relativistic generalization of the four-particle integral Faddeev-Yakubovsky equation is carried out. Only states with zero orbital angular momentum, $S$ states, are considered in the calculations. A rank-one separable potential for nucleon-nucleon interaction is used to solve the two-nucleon Bethe-Salpeter equation. Calculations are carried out taking into account both "3+1" and "2+2" subchannels in the equation. The system of integral equations is solved by the iteration method and the binding energy of the helium-4 nucleus is found. The calculated results are compared with experimental data and nonrelativistic. |
| title | Relativistic four-nucleon calculations with rank-one separable potential |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2504.18865 |