Abstract
A statistical combination of the experimental lifetime estimations available in the literatures is performed for 3ΛH and 4ΛH, including several recent measurements. The combined average values of the lifetime for 3ΛH and 4ΛH are respectively 216−16+19 ps and 192−18+20 ps with a reduced χ2 of 0.89 and 0.48. A new insight into the lifetime estimation of the HypHI Phase 0 experiment by a Bayesian approach is also presented. In this approach, several different prior distributions including the combination of previous lifetime data and a Jeffrey prior are used. The principal mode and the smallest credible interval at 68% of the posterior distribution, given by the prior belief of the previous measurements, are 217−16+19 ps and 194−18+20 ps respectively for 3ΛH and 4ΛH. The two employed approaches have revealed that the lifetime of hypernuclei 3ΛH and 4ΛH can be shorter than the Λ–hyperon lifetime.
Highlights
The study of the lifetime of heavier baryons than the nucleons can reveal the nature of the weak interaction being responsible for the flavor conversion and the strong interaction which governs the structure of the quarks and gluons within the baryons
Thanks to the long lifetime of Λ in comparison with the typical lifetime of resonance states decaying via the strong interaction, the study of the nucleon–Λ interactions has been possible by studying a Λ–hypernucleus, a bound state of nucleons and the Λ–hyperon, though it has not been practical to study these interactions by
The study of the deviation of the lifetime of Λ–hypernuclei from the lifetime value of the free Λ–hyperon could exhibit the modification of the Λ wavefunction in the nuclear medium
Summary
The study of the lifetime of heavier baryons than the nucleons can reveal the nature of the weak interaction being responsible for the flavor conversion and the strong interaction which governs the structure of the quarks and gluons within the baryons. The study of the deviation of the lifetime of Λ–hypernuclei from the lifetime value of the free Λ–hyperon could exhibit the modification of the Λ wavefunction in the nuclear medium. It would especially strike new insight on their fundamental structures, though some light Λ–. We revisit the lifetime values of the HypHI experiment by means of the Bayesian analysis. The results of these two independent analyses infer could be that of the Λ–hyperon
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