ANCs of the bound states of $^{16}$O deduced from elastic $α$-$^{12}$C scattering data
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arXiv
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866917572533813248 |
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| author | Ando, Shung-Ichi |
| author_facet | Ando, Shung-Ichi |
| contents | Asymptotic normalization coefficients (ANCs) of the $0_1^+$, $0_2^+$, $1_1^-$, $2_1^+$, $3_1^-$ ($l_{i th}^π$) bound states of $^{16}$O are deduced from the phase shift data of elastic $α$-$^{12}$C scattering at low energies. $S$ matrices of elastic $α$-$^{12}$C scattering are constructed within cluster effective field theory (EFT), in which both bound and resonant states of $^{16}$O are considered. Parameters in the $S$ matrices are fitted to the precise phase shift data below the $p$-$^{15}$N breakup energy for the partial waves of $l=0,1,2,3,4,5,6$, and the ANCs are calculated by using the wave function normalization factors of $^{16}$O propagators for $l=0,1,2,3$. We review the values of ANCs, which are compared with other results in the literature, and discuss uncertainties of the ANCs obtained from the elastic $α$-$^{12}$C scattering data in cluster EFT. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_14999 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | ANCs of the bound states of $^{16}$O deduced from elastic $α$-$^{12}$C scattering data Ando, Shung-Ichi Nuclear Theory Nuclear Experiment Asymptotic normalization coefficients (ANCs) of the $0_1^+$, $0_2^+$, $1_1^-$, $2_1^+$, $3_1^-$ ($l_{i th}^π$) bound states of $^{16}$O are deduced from the phase shift data of elastic $α$-$^{12}$C scattering at low energies. $S$ matrices of elastic $α$-$^{12}$C scattering are constructed within cluster effective field theory (EFT), in which both bound and resonant states of $^{16}$O are considered. Parameters in the $S$ matrices are fitted to the precise phase shift data below the $p$-$^{15}$N breakup energy for the partial waves of $l=0,1,2,3,4,5,6$, and the ANCs are calculated by using the wave function normalization factors of $^{16}$O propagators for $l=0,1,2,3$. We review the values of ANCs, which are compared with other results in the literature, and discuss uncertainties of the ANCs obtained from the elastic $α$-$^{12}$C scattering data in cluster EFT. |
| title | ANCs of the bound states of $^{16}$O deduced from elastic $α$-$^{12}$C scattering data |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2311.14999 |