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| Autores principales: | , , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2508.08181 |
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| _version_ | 1866912532540686336 |
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| author | Duerinck, Pierre-Yves Deltuva, Arnoldas Dohet-Eraly, Jérémy Gattobigio, Mario Kievsky, Alejandro Lazauskas, Rimantas Likandrovas, Darius Viviani, Michele |
| author_facet | Duerinck, Pierre-Yves Deltuva, Arnoldas Dohet-Eraly, Jérémy Gattobigio, Mario Kievsky, Alejandro Lazauskas, Rimantas Likandrovas, Darius Viviani, Michele |
| contents | A benchmark study is performed for the excited state of $^4$He. When the Coulomb interaction is switched off, the $^4$He nucleus exhibits a bound excited state in the vicinity of $p-{}^3$H threshold. As the Coulomb interaction is gradually introduced, the excited state crosses the threshold and eventually becomes a resonant state.
Using three numerical methods, we track the evolution of this excited state and determine the resonance energy and width. Comparisons of the theoretical predictions reveal a significant discrepancy with commonly used $R$-matrix values based on the analysis of the experimental data. We explain the origin for this discrepancy. Additionally, the two-level energy spectrum of $^4$He in the absence of the Coulomb force exhibits characteristics linked to Efimov physics, suggesting a reduced sensitivity to interaction details. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_08181 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The excited state of the $α$-particle: a benchmark study Duerinck, Pierre-Yves Deltuva, Arnoldas Dohet-Eraly, Jérémy Gattobigio, Mario Kievsky, Alejandro Lazauskas, Rimantas Likandrovas, Darius Viviani, Michele Nuclear Theory A benchmark study is performed for the excited state of $^4$He. When the Coulomb interaction is switched off, the $^4$He nucleus exhibits a bound excited state in the vicinity of $p-{}^3$H threshold. As the Coulomb interaction is gradually introduced, the excited state crosses the threshold and eventually becomes a resonant state. Using three numerical methods, we track the evolution of this excited state and determine the resonance energy and width. Comparisons of the theoretical predictions reveal a significant discrepancy with commonly used $R$-matrix values based on the analysis of the experimental data. We explain the origin for this discrepancy. Additionally, the two-level energy spectrum of $^4$He in the absence of the Coulomb force exhibits characteristics linked to Efimov physics, suggesting a reduced sensitivity to interaction details. |
| title | The excited state of the $α$-particle: a benchmark study |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2508.08181 |