Compatibility of recent $\hat{I}ž$-nuclear bound state signals

Abstract

J-PARC E05 reported recently a hint of a $\hat{I}{ž}^{-}-{}^{11}\mathrm{B}$ nuclear state in the ${}^{12}\mathrm{C}(K^{-},K^{+}){}_{\hat{I}}^{12}ž\mathrm{Be}$ spectrum, bound by $B_{\hat{I}{ž}^{-}}=8.9\pm 1.4{}_{-3.1}^{+3.8}$ MeV. Using a density-dependent $\hat{I}ž$-nuclear optical potential $V_{\mathrm{opt}}^{\hat{I}}ž(\ddot{I})$ we explore to what extent a $\hat{I}{ž}_{1s}^{-}$ assignment of this nuclear state is compatible with $\hat{I}{ž}_{1s}^{-}$ and $\hat{I}{ž}_{1p}^{-}$ nuclear-state interpretations of $\hat{I}{ž}^{-}$ capture events in light emulsion-nuclei experiments. We find that the only acceptable $\hat{I}{ž}_{1s}^{-}$ assignment at present, barring an abnormally strong repulsive $\ddot{I}{}^2$ component of $V_{\mathrm{opt}}^{\hat{I}}ž(\ddot{I})$, is that for the $\hat{I}{ž}^{-}-{}^{11}\mathrm{B}$ signal. This finding supports reassigning $\hat{I}{ž}^{-}$ capture events in ${}^{14}$N, originally assigned as $\hat{I}{ž}_{1s}^{-}-{}^{14}\mathrm{N}$ nuclear states, to $\hat{I}{ž}_{1p}^0-{}^{14}\mathrm{C}$ nuclear states. The depth of $V_{\mathrm{opt}}^{\hat{I}}ž(\ddot{I})$ at nuclear-matter density $\ddot{I}{}_0=0.17$ fm${}^{-3}$ is then $-V_{\mathrm{opt}}^{\hat{I}}ž(\ddot{I}{}_0)\sim 21$ MeV.

v1: 11 pages, 2 figures, 2 tables, to be submitted for publication; v2: 13 pages, 2 figures, 2 tables, to be published in Phys. Lett. B; v3: published version