Summary of the HypHI Phase 0 experiment and future plans with FRS at GSI (FAIR Phase 0)

Results of the HypHI Phase 0 experiment with the reaction of Li-6+C-12 at 2 A GeV are summarised. Invariant mass distributions as well as,the lifetime measurements for H-3(Lambda) and H-4(Lambda) are discussed. The lifetime values for both the hypernuclei are respectively observed to be 18(-32)(+42) ps and 140(-33)(+48) ps, being significantly shorter than those of the Lambda-hyperon. Statistical analyses of existing lifetime data for H-3(Lambda) up to 2014 confirm a significantly short lifetime of H-3(Lambda), which is not explained by present models. Observed hypernuclear production cross section values for H-3(Lambda) and H-4(Lambda) are also summarised. In addition, observed signals for the final states of d + pi(-) and t + pi(-) are discussed. All the discussions on the results of the HypHI Phase 0 experiment in this article are based on [1-4]. We also present a new proposed experiment with the FRS (FRagment Separator) at GSI (FAIR Phase 0) to improve the precision of the hypernuclear spectroscopy with peripheral heavy ion induced reactions.