Mesonic weak decay spectrum of hypertriton HΛ3

In this research, pionic energy spectra of hypertriton HΛ3 and HΛ4 weak decay process are investigated in the frame work of Plane Wave Impulse Approximation (PWIA). The pionic energy spectra from HΛ3 and HΛ4 weak decay process are obtained by using Green's function method. Interaction between deuteron d-Λ is constructed by fitting the parameters of Isle type potential with a central repulsion and a single Gaussian potential with no repulsion (SG) which H reproduce the binding energy of hypertriton HΛ3. We have analyzed in detail the antisymmetrization of HΛ3 which is the H origin of enhancement in HΛ3 decay rate. This might solve the discrepancy issue of HΛ3 decay life time between theoretical and experimental results. Similar analysis for HΛ4 hypernucleus was conducted.