Compatibility of recent $Ξ$-nuclear bound state signals
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908452429758464 |
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| author | Friedman, E. Gal, A. |
| author_facet | Friedman, E. Gal, A. |
| contents | J-PARC E05 reported recently a hint of a $Ξ^--{^{11}{\rm B}}$ nuclear state in the ${^{12}}{\rm C}(K^-,K^+){^{12}_Ξ}{\rm Be}$ spectrum, bound by $B_{Ξ^-}=8.9\pm 1.4 {^{+3.8}_{-3.1}}$ MeV. Using a density-dependent $Ξ$-nuclear optical potential $V_{\rm opt}^Ξ(ρ)$ we explore to what extent a $Ξ^-_{1s}$ assignment of this nuclear state is compatible with $Ξ^-_{1s}$ and $Ξ^-_{1p}$ nuclear-state interpretations of $Ξ^-$ capture events in light emulsion-nuclei experiments. We find that the only acceptable $Ξ^-_{1s}$ assignment at present, barring an abnormally strong repulsive $ρ^2$ component of $V_{\rm opt}^Ξ(ρ)$, is that for the $Ξ^--{^{11}{\rm B}}$ signal. This finding supports reassigning $Ξ^-$ capture events in $^{14}$N, originally assigned as $Ξ^-_{1s}-{^{14}{\rm N}}$ nuclear states, to $Ξ^0_{1p}-{^{14}{\rm C}}$ nuclear states. The depth of $V_{\rm opt}^Ξ(ρ)$ at nuclear-matter density $ρ_0=0.17$ fm$^{-3}$ is then $-V_{\rm opt}^Ξ(ρ_0)\sim 21$ MeV. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_15820 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Compatibility of recent $Ξ$-nuclear bound state signals Friedman, E. Gal, A. Nuclear Theory High Energy Physics - Phenomenology Nuclear Experiment J-PARC E05 reported recently a hint of a $Ξ^--{^{11}{\rm B}}$ nuclear state in the ${^{12}}{\rm C}(K^-,K^+){^{12}_Ξ}{\rm Be}$ spectrum, bound by $B_{Ξ^-}=8.9\pm 1.4 {^{+3.8}_{-3.1}}$ MeV. Using a density-dependent $Ξ$-nuclear optical potential $V_{\rm opt}^Ξ(ρ)$ we explore to what extent a $Ξ^-_{1s}$ assignment of this nuclear state is compatible with $Ξ^-_{1s}$ and $Ξ^-_{1p}$ nuclear-state interpretations of $Ξ^-$ capture events in light emulsion-nuclei experiments. We find that the only acceptable $Ξ^-_{1s}$ assignment at present, barring an abnormally strong repulsive $ρ^2$ component of $V_{\rm opt}^Ξ(ρ)$, is that for the $Ξ^--{^{11}{\rm B}}$ signal. This finding supports reassigning $Ξ^-$ capture events in $^{14}$N, originally assigned as $Ξ^-_{1s}-{^{14}{\rm N}}$ nuclear states, to $Ξ^0_{1p}-{^{14}{\rm C}}$ nuclear states. The depth of $V_{\rm opt}^Ξ(ρ)$ at nuclear-matter density $ρ_0=0.17$ fm$^{-3}$ is then $-V_{\rm opt}^Ξ(ρ_0)\sim 21$ MeV. |
| title | Compatibility of recent $Ξ$-nuclear bound state signals |
| topic | Nuclear Theory High Energy Physics - Phenomenology Nuclear Experiment |
| url | https://arxiv.org/abs/2504.15820 |