Low-energy ${}^{12}$C continuum states in three-$α$ model
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arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911053511655424 |
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| author | Ishikawa, Souichi |
| author_facet | Ishikawa, Souichi |
| contents | The electric multipole strength distributions for transitions from the ${}^{12}\mathrm{C}(0_1^+)$ ground state to $3α$ ($0^+$, $1^-$, $2^+$, and $3^-$) continuum states are studied in terms of $3α$ model. Several sets of the $3α$ Hamiltonian are introduced phenomenologically with conventional $α$-$α$ interaction potentials and $3α$ potentials with different range parameters. The transition strength distributions are obtained from wave functions of $3α$ bound- and continuum states calculated by the Faddeev three-body formalism. From these strength distributions, the resonance parameters (energy, $3α$-decay width, and transition strength) of $3α$ resonance states are extracted. Dependencies of these observables on interaction potential models are studied to examine the introduced interaction models. Using the transition strength distributions, excitation-energy spectra in the ${}^{12}\mathrm{C}(α,α^\prime)3α$ reaction are calculated to compare with experimental data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_14981 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Low-energy ${}^{12}$C continuum states in three-$α$ model Ishikawa, Souichi Nuclear Theory Nuclear Experiment The electric multipole strength distributions for transitions from the ${}^{12}\mathrm{C}(0_1^+)$ ground state to $3α$ ($0^+$, $1^-$, $2^+$, and $3^-$) continuum states are studied in terms of $3α$ model. Several sets of the $3α$ Hamiltonian are introduced phenomenologically with conventional $α$-$α$ interaction potentials and $3α$ potentials with different range parameters. The transition strength distributions are obtained from wave functions of $3α$ bound- and continuum states calculated by the Faddeev three-body formalism. From these strength distributions, the resonance parameters (energy, $3α$-decay width, and transition strength) of $3α$ resonance states are extracted. Dependencies of these observables on interaction potential models are studied to examine the introduced interaction models. Using the transition strength distributions, excitation-energy spectra in the ${}^{12}\mathrm{C}(α,α^\prime)3α$ reaction are calculated to compare with experimental data. |
| title | Low-energy ${}^{12}$C continuum states in three-$α$ model |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2505.14981 |