Compatibility of recent Ξ-nuclear bound state signals

2025/04/22 by Friedman, E., Gal, A. · 3 citations
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Experiment (nucl-ex) #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.2504.15820

Abstract

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± 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 ρ² component of V_{\rm opt}^Ξ(ρ), is that for the Ξ^--¹¹\rm B signal. This finding supports reassigning Ξ^- capture events in ¹⁴N, originally assigned as Ξ^-_1s-¹⁴\rm N nuclear states, to Ξ⁰_1p-¹⁴\rm C nuclear states. The depth of V_{\rm opt}^Ξ(ρ) at nuclear-matter density ρ₀=0.17 fm^-3 is then -V_{\rm opt}^Ξ(ρ₀)∼ 21 MeV.

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