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We present a new measurement of the $^4_\Lambda$H hypernuclear lifetime usingin-flight $K^-$ + $^4$He $\rightarrow$ $^4_\Lambda$H + $\pi^0$ reaction at theJ-PARC hadron facility. We demonstrate, for the first time, the effectiveselection of the hypernuclear bound state using only the $\gamma$-ray energydecayed from $\pi^0$. This opens the possibility for a systematic study ofisospin partner hypernuclei through comparison with data from ($K^-$, $\pi^-$)reaction. As the first application of this method, our result for the$^4_\Lambda$H lifetime, $\tau(^4_\Lambda \mathrm{H}) = 206 \pm 8(\mathrm{stat.}) \pm 12 (\mathrm{syst.})\ \mathrm{ps}$, is one of the mostprecise measurements to date. We are also preparing to measure the lifetime ofthe hypertriton ($^3_\Lambda$H) using the same setup in the near future.

Precise lifetime measurement of $^4_\Lambda$H hypernucleus using in-flight $^4$He$(K^-, \pi^0)^4_\Lambda$H reaction