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Recently a peak structure was observed near the threshold in the in-flight reaction of the E15 experiment at J-PARC, which could be a signal of a bound state. In order to investigate what is the origin of this peak, we calculate the cross section of this reaction, in particular based on the scenario that the $\bar{K} N N\Lambda p$. We find that the numerical result of the invariant-mass spectrum in the $\bar{K} N N$ bound scenario is consistent with the J-PARC E15 data.

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