Statistical double ΛΛ hypernuclear formation from Ξ−Ξ^- absorption at rest in light nuclei

preprint2020arXivOpen access

Abstract

We investigate double ΛΛ hyperfragment formation from the statistical decay of double ΛΛ compound nuclei produced in the Ξ−Ξ^- absorption at rest in light nuclei, 12C^{12}\mathrm{C}, 14N^{14}\mathrm{N} and 16O^{16}\mathrm{O}. We examine the target and the ΛΛΛΛ bond energy dependence of the double ΛΛ hyperfragment formation probabilities, especially of those double hypernuclei observed in experiments. For the 12C^{12}\mathrm{C} (14N^{14}\mathrm{N}) target, the formation probabilities of ΛΛ6He^{6}_{ΛΛ}\mathrm{He} and ΛΛ10Be^{10}_{ΛΛ}\mathrm{Be} (ΛΛ13B^{13}_{ΛΛ}\mathrm{B}) are found to be reasonably large as they are observed in the KEK-E373 (KEK-E176) experiment. By comparison, for 16O^{16}\mathrm{O} target, the formation probability of ΛΛ11Be^{11}_{ΛΛ}\mathrm{Be} is calculated to be small with ΔBΛΛΔB_{ΛΛ} consistent with the Nagara event. We also evaluate the formation probability of ΛΛ5H{}^{5}_{ΛΛ}\mathrm{H} from a Ξ−Ξ^--6He{}^{6}\mathrm{He} bound state, Ξ7H{}^{7}_Ξ\mathrm{H}.

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