$\mathrm{\Xi }$-nuclear constraints from ${\mathrm{\Xi }}^{-}$ emulsion capture events

All five KEK and J-PARC two-body ${\mathrm{\Xi }}^{-}$+${}^A$Z $\to$ ${}_{\mathrm{\Lambda }}^{A^{\mathrm{\prime }}}$Z’+${}_{\mathrm{\Lambda }}^{A^{\mathrm{\prime }\mathrm{\prime }}}$Z’’ capture events in light emulsion nuclei, including KISO and IBUKI in ${}^{14}$N, are consistent with Coulomb-assisted $1p_{{\mathrm{\Xi }}^{-}}$ nuclear states. The underlying $\mathrm{\Xi }$-nuclear potential is strongly attractive, with nuclear-matter depth $V_{\mathrm{\Xi }}$ larger than 20 MeV. The recent ${}^{14}$N capture events KINKA and IRRAWADDY assigned by J-PARC E07 to $1s_{{\mathrm{\Xi }}^{-}}$ nuclear states, and implying considerably shallower $V_{\mathrm{\Xi }}$, have also another interpretation as $1p_{{\mathrm{\Xi }}^0}$ nuclear states.