On the Impossibility to Measure the Total Neutron- and Proton Induced Nonmesonic Decays for Hypertriton

Abstract

Based on realistic calculations for the nonmesonic decay rate of Hypertriton we demonstrate, that in principle it is not possible to measure the total n- and p- induced decay rates and as a consequence $\hat{I}{“}_n/\hat{I}{“}_p$ for that lightest hypernucleus.For the nonmesonic decay process the calculations are performed with modern YN forces based on various meson exchanges and taking the final state interaction among the three nucleons fully into account. Our findings have consequences also for the interpretation of experimental $\hat{I}{“}_n/\hat{I}{“}_p$ ratios for heavier hypernuclei where severe discrepancies exist to theoretical $\hat{I}{“}_n/\hat{I}{“}_p$ ratios.

11 pages (6 figures)