Cluster effective field theory and nuclear reactions
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arXiv
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| Format: | Preprint |
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2020
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| _version_ | 1866913204045611008 |
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| author | Ando, Shung-Ichi |
| author_facet | Ando, Shung-Ichi |
| contents | An effective field theory (EFT) for a nuclear reaction at low energies is studied. The astrophysical $S$-factor of radiative $α$ capture on $^{12}$C at the Gamow-peak energy, $T_G=0.3$ MeV, is a fundamental quantity in nuclear-astrophysics, and we construct an EFT for the reaction. To fix parameters appearing in the effective Lagrangian, the EFT is applied to the study for three reactions: elastic $α$-$^{12}$C scattering at low energies, $E1$ transition of radiative $α$ capture on $^{12}$C, and $β$ delayed $α$ emission from $^{16}$N. We report an estimate of the $S_{E1}$-factor of the reaction through the $E1$ transition at $T_G$ by employing the EFT. We also discuss applications of EFTs to nuclear reactions at low energies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2011_07207 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Cluster effective field theory and nuclear reactions Ando, Shung-Ichi Nuclear Theory Nuclear Experiment An effective field theory (EFT) for a nuclear reaction at low energies is studied. The astrophysical $S$-factor of radiative $α$ capture on $^{12}$C at the Gamow-peak energy, $T_G=0.3$ MeV, is a fundamental quantity in nuclear-astrophysics, and we construct an EFT for the reaction. To fix parameters appearing in the effective Lagrangian, the EFT is applied to the study for three reactions: elastic $α$-$^{12}$C scattering at low energies, $E1$ transition of radiative $α$ capture on $^{12}$C, and $β$ delayed $α$ emission from $^{16}$N. We report an estimate of the $S_{E1}$-factor of the reaction through the $E1$ transition at $T_G$ by employing the EFT. We also discuss applications of EFTs to nuclear reactions at low energies. |
| title | Cluster effective field theory and nuclear reactions |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2011.07207 |