Precision calculation of $^3$He$(α,γ)^7$Be for solar physics
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866918150691356672 |
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| author | Khadka, Ratna Gan, Ling Higa, Renato Rupak, Gautam |
| author_facet | Khadka, Ratna Gan, Ling Higa, Renato Rupak, Gautam |
| contents | We calculate the cross section for radiative capture $^3$He$(α,γ)^7$Be at next-to-next-to-leading order (NNLO). At this order of perturbation, momentum dependent two-body currents make their first appearance. We provide a model-independent construction of these currents from gauge and Galilean invariance, where the general framework for constructing higher-order two-body currents in low-energy effective field theories becomes evident. The $^3$He$(α,γ)^7$Be astrophysical S-factor $S_{34}(0)= 0.564^{+0.17}_{-0.015}$ keV b is obtained from a Bayesian analysis at NNLO, with an additional nominal theoretical uncertainty $\pm0.017$ keV b of 3%. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24931 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Precision calculation of $^3$He$(α,γ)^7$Be for solar physics Khadka, Ratna Gan, Ling Higa, Renato Rupak, Gautam Nuclear Theory Solar and Stellar Astrophysics Nuclear Experiment We calculate the cross section for radiative capture $^3$He$(α,γ)^7$Be at next-to-next-to-leading order (NNLO). At this order of perturbation, momentum dependent two-body currents make their first appearance. We provide a model-independent construction of these currents from gauge and Galilean invariance, where the general framework for constructing higher-order two-body currents in low-energy effective field theories becomes evident. The $^3$He$(α,γ)^7$Be astrophysical S-factor $S_{34}(0)= 0.564^{+0.17}_{-0.015}$ keV b is obtained from a Bayesian analysis at NNLO, with an additional nominal theoretical uncertainty $\pm0.017$ keV b of 3%. |
| title | Precision calculation of $^3$He$(α,γ)^7$Be for solar physics |
| topic | Nuclear Theory Solar and Stellar Astrophysics Nuclear Experiment |
| url | https://arxiv.org/abs/2509.24931 |