Precise lifetime measurement of $^4_Λ$H hypernucleus using in-flight $^4$He$(K^-, π^0)^4_Λ$H reaction
We present a new measurement of the $^4_Λ$H hypernuclear lifetime using in-flight $K^-$ + $^4$He $\rightarrow$ $^4_Λ$H + $π^0$ reaction at the J-PARC hadron facility. We demonstrate, for the first time, the effective selection of the hypernuclear bound state using only the $γ$-ray energy decayed from $π^0$. This opens the possibility for a systematic study of isospin partner hypernuclei through comparison with data from ($K^-$, $π^-$) reaction. As the first application of this method, our result for the $^4_Λ$H lifetime, $τ(^4_Λ\mathrm{H}) = 206 \pm 8 (\mathrm{stat.}) \pm 12 (\mathrm{syst.})\ \mathrm{ps}$, is one of the most precise measurements to date. We are also preparing to measure the lifetime of the hypertriton ($^3_Λ$H) using the same setup in the near future.