Abstract
The -mesonic decay of the hypertriton is calculated based on a hypertriton wave function and 3 scattering states, which are rigorous solutions of three-body Faddeev equations using realistic and hyperon-nucleon interactions. The total -mesonic decay rate is found to be 101% of the free decay rate, which is close to the experimental data. Together with the nonmesonic decay the total lifetime of H is predicted to be 2.56 10 sec which is 3% smaller than for the free particle. The differential decay rate is evaluated as a function of the pion momentum. The decay into the channel is stronger than in the channel in contrast to the situation for the nonmesonic decay. The ratio for the decay rate into He + to the decay rate into all channels including is found to be 0.379, which is close to the experimental value. We visualize the decay into the dominant channel in a Dalitz plot. Finally we compare the polarization of the outgoing proton in free unpolarized decay to the polarization of He in unpolarized H decay and we compare the closely related asymmetry of emitted parallel and antiparallel with respect to the spin direction for a polarized to the corresponding asymmetry for a polarized H.
- Received 29 October 1997
DOI:https://doi.org/10.1103/PhysRevC.57.1595
©1998 American Physical Society