First observation of a nuclear $s$-state of $\Xi$ hypernucleus, ${}_{\Xi }^{15}\mathrm{C}$

Abstract

Bound-systems of ${\Xi }^{-}$--${}_{}^{14}\mathrm{N}$ are studied via ${\Xi }^{-}$ capture at rest followed by emission of a twin single-$\Lambda$ hypernucleus in the emulsion detectors. Two events forming extremely deep ${\Xi }^{-}$ bound states were obtained by analysis of a hybrid method in the E07 experiment at J-PARC and reanalysis of the E373 experiment at KEK-PS. The decay mode of one event was assigned as ${\Xi }^{-}{+}_{}^{14}\mathrm{N}{\to }_{\Lambda }^5\mathrm{He}$+${}_{\Lambda }^5\mathrm{He}$+${}_{}^4\mathrm{He}$+n. Since there are no excited states for daughter particles, the binding energy of the ${\Xi }^{-}$ hyperon, $B_{{\Xi }^{-}}$, in ${}_{}^{14}\mathrm{N}$ nucleus was uniquely determined to be 6.27 $\pm$ 0.27 MeV. Another ${\Xi }^{-}$--${}_{}^{14}\mathrm{N}$ system via the decay ${}_{\Lambda }^9\mathrm{Be}$ + ${}_{\Lambda }^5\mathrm{He}$ + n brings a $B_{{\Xi }^{-}}$ value, 8.00 $\pm$ 0.77 MeV or 4.96 $\pm$ 0.77 MeV, where the two possible values of $B_{{\Xi }^{-}}$ correspond to the ground and the excited states of the daughter ${}_{\Lambda }^9\mathrm{Be}$ nucleus, respectively. Because the $B_{{\Xi }^{-}}$ values are larger than those of the previously reported events (KISO and IBUKI), which are both interpreted as the nuclear $1p$ state of the ${\Xi }^{-}$--${}_{}^{14}\mathrm{N}$ system, these new events give the first indication of the nuclear $1s$ state of the $\Xi$ hypernucleus, ${}_{\Xi }^{15}\mathrm{C}$.

arXiv comment26 pages, 7 figures

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