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Has J-PARC E07 observed a $\Xi^-_{1s}$ nuclear state?

E. FriedmanA. Gal
Sep 2022
摘要
The Strangeness ${\cal S}=-2$ J-PARC E07 emulsion experiment publishedrecently two new $\Xi^-$--$^{14}$N capture events, IRRAWADDY and IBUKI,identified by observing weak-decay sequences of pairs of single-$\Lambda$hypernuclei and interpreted as $\Xi^{-}_{1s}$ and $\Xi^{-}_{1p}$ nuclear boundstates, respectively, with binding energies $B_{\Xi^-}^{1s}$=6.27$\pm$0.27 MeVand $B_{\Xi^-}^{1p}$=1.27$\pm$0.21 MeV. $\Xi^-$ capture events in emulsion playa major role in determining the $\Xi$-nuclear and the $\Lambda\Lambda$potential strengths. Here we question the assignment of a $\Xi^{-}_{1s}$nuclear bound state to IRRAWADDY and offer an alternative assignment as anear-threshold $\Xi^0_{1p}$--$^{14}$C nuclear bound state, slightly admixedwith a $\Xi^{-}_{1p}$--$^{14}$N nuclear bound state component corresponding toIBUKI. We also question using IBUKI's $B_{\Xi^-}^{1p}$ value as is to determinethe $\Xi$-nuclear potential depth. Altogether, $\Xi^-$ capture events in$^{12}$C and $^{16}$O should prove less ambiguous than in $^{14}$N.
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