Abstract
The H bound state and the -wave hypertriton(H)- scattering in spin singlet and triplet channels below the hypertriton breakup momentum scale are studied in halo/cluster effective field theory at leading order by treating the H system as a three-cluster (--deuteron) system. In the spin singlet channel, the amplitude is insensitive to the cutoff parameter introduced in the integral equation, and we find that there is no bound state. In this case, the scattering length of the hypertriton- scattering is found to be fm. In the spin triplet channel, however, the amplitude obtained by the coupled integral equations is sensitive to , and we introduce the three-body contact interaction . After phenomenologically fixing , we find that the correlation between the two- separation energy from the H bound state and the scattering length of the -wave - scattering is significantly sensitive to the value of .
3 More- Received 9 October 2013
DOI:https://doi.org/10.1103/PhysRevC.89.014318
©2014 American Physical Society