On the structure observed in the in-flight ${}^3\text{He}(K^{-},\Lambda p)n$ reaction at J-PARC

Abstract

A theoretical investigation is done to clarify the origin of the peak structure observed near the $K^{-}pp$ threshold in the in-flight ${}^3\text{He}(K^{-},\Lambda p)n$ reaction of the J-PARC E15 experiment, which could be a signal of the lightest kaonic nuclei, that is, the $\bar{K}NN(I=1/2)$ state. For the investigation, we evaluate the $\Lambda p$ invariant mass spectrum assuming two possible scenarios to interpret the experimental peak. One assumes that the $\Lambda (1405)$ resonance is generated after the emission of an energetic neutron from the absorption of the initial $K^{-}$, not forming a bound state with the remaining proton. This uncorrelated $\Lambda (1405)p$ system subsequently decays into the final $\Lambda p$. The other scenario implies that, after the emission of the energetic neutron, a $\bar{K}NN$ bound state is formed, decaying eventually into a $\Lambda p$ pair. Our results show that the experimental signal observed in the in-flight ${}^3\text{He}(K^{-},\Lambda p)n$ reaction at J-PARC is qualitatively well reproduced by the assumption that a $\bar{K}NN$ bound state is generated in the reaction, definitely discarding the interpretation in terms of an uncorrelated $\Lambda (1405)p$ state.

27 pages, 18 EPS figures, version accepted for publication in PTEP, discussions on numerical results improved

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• Kaon induced Lambda(1405) production on a deuteron target at DAFNE
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• Few-body approach to structure of $\bar{K}$-nuclear quasi-bound states
• $N\Omega$ interaction: meson exchanges, inelastic channels, and quasibound state
• Construction of a local barK N-pi Sigma-pi Lambda potential and composition of the Lambda(1405)
• Hadron Physics at J-PARC
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• Single- and two-nucleon antikaon absorption in nuclear matter with chiral meson-baryon interactions
• New insights into the pole parameters of the $\Lambda (1380)$, the $\Lambda (1405)$ and the $\Sigma (1385)$
• Possible bound states with hidden bottom from ${\bar{K}}^{(\ast )}{B}^{(\ast )}{\bar{B}}^{(\ast )}$ systems
• Study of the p$-$p$-$K${}^{+}$ and p$-$p$-$K${}^{-}$ dynamics using the femtoscopy technique
• Faddeev approach to the reaction $K^{-}d\to \pi \Sigma n$ at $p_K=1$ GeV/c
• Feasibility study of the $K^{+}d\to K^{0}pp$ reaction for the "${\Theta }^{+}$" pentaquark
• Structure, formation and decay of $\bar{K}NN$ system by Faddeev-AGS calculations
• $\bar{K}\bar{D}N$ molecular state as a "$uuds\bar{c}$ pentaquark" in a three-body calculation
• Signature of $N^{\star }$ resonance in mass spectrum of the $K\bar{K}N$ decay channels
• Recent results and future prospects of kaonic nuclei at J-PARC
• Possible ${\eta }^{\prime }d$ bound state and its $s$-channel formation in the $\gamma d\to \eta d$ reaction
• Further Theoretical Analysis on the $K^{-}{}^3\text{He}\to \Lambda pn$ Reaction for the $\bar{K}NN$ Bound-State Search in the J-PARC E15 Experiment
• Evidence for a $\bar{K}NN$ quasi-bound state in the $\gamma d\to K^0\Lambda p$ reaction
• The Peak Structure in the In-Flight ${}^3\text{He}(K^{-},\Lambda p)n$ Reaction Around the $\bar{K}NN$ Threshold
• Correlation function for the $n{\bar{D}}_{s0}^{\ast }(2317)$ interaction and the issue of elastic unitarity