Hypernuclear constraints on the existence and lifetime of a deeply bound $H$ dibaryon
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913491266306048 |
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| author | Gal, Avraham |
| author_facet | Gal, Avraham |
| contents | We study to what extent the unique observation of $ΛΛ$ hypernuclei by their weak decay into known $Λ$ hypernuclei, with lifetimes of order 10$^{-10}$ s, rules out the existence of a deeply bound doubly-strange (${\cal S}$=$-$2) $H$ dibaryon. Treating ${_{ΛΛ}^{~~6}}{\rm He}$ (the Nagara emulsion event) in a realistic $Λ-Λ-{^4}$He three-body model, we find that the ${_{ΛΛ}^{~~6}}{\rm He}\to H + {^4{\rm He}}$ strong-interaction lifetime increases beyond 10$^{-10}$ s for $m_H < m_Λ+m_n$, about 176 MeV below the $ΛΛ$ threshold, so that such a deeply bound $H$ is not in conflict with hypernuclear data. Constrained by $Λ$ hypernuclear $Δ{\cal S}$=1 nonmesonic weak-interaction decay rates, we follow EFT methods to evaluate the $Δ{\cal S}$=2 $H\to nn$ weak-decay lifetime of $H$ in the mass range $2m_n \lesssim m_H < m_Λ+m_n$. The resulting $H$ lifetime is of order 10$^5$ s, many orders of magnitude shorter than required to qualify for a dark-matter candidate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_12801 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hypernuclear constraints on the existence and lifetime of a deeply bound $H$ dibaryon Gal, Avraham Nuclear Theory High Energy Physics - Phenomenology Nuclear Experiment We study to what extent the unique observation of $ΛΛ$ hypernuclei by their weak decay into known $Λ$ hypernuclei, with lifetimes of order 10$^{-10}$ s, rules out the existence of a deeply bound doubly-strange (${\cal S}$=$-$2) $H$ dibaryon. Treating ${_{ΛΛ}^{~~6}}{\rm He}$ (the Nagara emulsion event) in a realistic $Λ-Λ-{^4}$He three-body model, we find that the ${_{ΛΛ}^{~~6}}{\rm He}\to H + {^4{\rm He}}$ strong-interaction lifetime increases beyond 10$^{-10}$ s for $m_H < m_Λ+m_n$, about 176 MeV below the $ΛΛ$ threshold, so that such a deeply bound $H$ is not in conflict with hypernuclear data. Constrained by $Λ$ hypernuclear $Δ{\cal S}$=1 nonmesonic weak-interaction decay rates, we follow EFT methods to evaluate the $Δ{\cal S}$=2 $H\to nn$ weak-decay lifetime of $H$ in the mass range $2m_n \lesssim m_H < m_Λ+m_n$. The resulting $H$ lifetime is of order 10$^5$ s, many orders of magnitude shorter than required to qualify for a dark-matter candidate. |
| title | Hypernuclear constraints on the existence and lifetime of a deeply bound $H$ dibaryon |
| topic | Nuclear Theory High Energy Physics - Phenomenology Nuclear Experiment |
| url | https://arxiv.org/abs/2404.12801 |