Radiative $α$ capture on $^{12}$C in cluster effective field theory: short review
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915235954163712 |
|---|---|
| author | Ando, Shung-Ichi |
| author_facet | Ando, Shung-Ichi |
| contents | Study of radiative $α$ capture on $^{12}$C, $^{12}$C($α$,$γ$)$^{16}$O, in cluster effective field theory (EFT) is reviewed. A low energy EFT for $^{12}$C($α$,$γ$)$^{16}$O at the Gamow-peak energy, $E_G=0.3$~MeV, is constructed, and the theory is first applied to the study of elastic $α$-$^{12}$C scattering at low energies. The effective range parameters are fitted to the precise phase shift data of the elastic scattering and the astrophysical $S_{E1}$ factor of the $E1$ transition of $^{12}$C($α$,$γ$)$^{16}$O at $E_G$ is estimated. For the study of the $E2$ transition of $^{12}$C($α$,$γ$)$^{16}$O, we discuss a difficulty to determine the asymptotic normalization coefficient (ANC) of the subthreshold $2_1^+$ state of $^{16}$O from the elastic scattering data, and demonstrate the difficulty with the estimate of the astrophysical $S_{E2}$ factor of $^{12}$C($α$,$γ$)$^{16}$O at $E_G$. We discuss the uncertainty in the estimate of the $S$ factors at $E_G$ in the present approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07767 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Radiative $α$ capture on $^{12}$C in cluster effective field theory: short review Ando, Shung-Ichi Nuclear Theory Nuclear Experiment Study of radiative $α$ capture on $^{12}$C, $^{12}$C($α$,$γ$)$^{16}$O, in cluster effective field theory (EFT) is reviewed. A low energy EFT for $^{12}$C($α$,$γ$)$^{16}$O at the Gamow-peak energy, $E_G=0.3$~MeV, is constructed, and the theory is first applied to the study of elastic $α$-$^{12}$C scattering at low energies. The effective range parameters are fitted to the precise phase shift data of the elastic scattering and the astrophysical $S_{E1}$ factor of the $E1$ transition of $^{12}$C($α$,$γ$)$^{16}$O at $E_G$ is estimated. For the study of the $E2$ transition of $^{12}$C($α$,$γ$)$^{16}$O, we discuss a difficulty to determine the asymptotic normalization coefficient (ANC) of the subthreshold $2_1^+$ state of $^{16}$O from the elastic scattering data, and demonstrate the difficulty with the estimate of the astrophysical $S_{E2}$ factor of $^{12}$C($α$,$γ$)$^{16}$O at $E_G$. We discuss the uncertainty in the estimate of the $S$ factors at $E_G$ in the present approach. |
| title | Radiative $α$ capture on $^{12}$C in cluster effective field theory: short review |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2504.07767 |