Analysis of $M1$ capture in the $α(d,γ)^6$Li reaction
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| Format: | Preprint |
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2026
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| _version_ | 1866909998883274752 |
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| author | Tursunov, Ergash M. Baye, Daniel |
| author_facet | Tursunov, Ergash M. Baye, Daniel |
| contents | An effective operator is exactly equivalent to the long-wavelength form of the $M1$ operator in transition matrix elements. It allows us to analytically and numerically analyze the $M1$ contribution to the $α(d,γ)^6$Li reaction. Isoscalar $M1$ transitions from an initial $S$ wave are shown to be forbidden in radiative capture reactions when distortion is neglected in the initial state. A calculation in a three-body model with proton, neutron, and a structureless $α$ interacting through effective forces leads to a negligible $M1$ $S$-factor at small energies. The dominant $M1$ contribution comes from transitions from an initial $S$ wave to isospin 1 components of the $^6$Li ground state. It is suggested that using this effective $M1$ operator in other models should clarify the origin of large discrepancies between $M1$ $S$-factors appearing in the literature. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_16551 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Analysis of $M1$ capture in the $α(d,γ)^6$Li reaction Tursunov, Ergash M. Baye, Daniel Nuclear Theory Cosmology and Nongalactic Astrophysics Nuclear Experiment An effective operator is exactly equivalent to the long-wavelength form of the $M1$ operator in transition matrix elements. It allows us to analytically and numerically analyze the $M1$ contribution to the $α(d,γ)^6$Li reaction. Isoscalar $M1$ transitions from an initial $S$ wave are shown to be forbidden in radiative capture reactions when distortion is neglected in the initial state. A calculation in a three-body model with proton, neutron, and a structureless $α$ interacting through effective forces leads to a negligible $M1$ $S$-factor at small energies. The dominant $M1$ contribution comes from transitions from an initial $S$ wave to isospin 1 components of the $^6$Li ground state. It is suggested that using this effective $M1$ operator in other models should clarify the origin of large discrepancies between $M1$ $S$-factors appearing in the literature. |
| title | Analysis of $M1$ capture in the $α(d,γ)^6$Li reaction |
| topic | Nuclear Theory Cosmology and Nongalactic Astrophysics Nuclear Experiment |
| url | https://arxiv.org/abs/2601.16551 |