Three-body hypernuclei in pionless effective field theory

摘要

We calculate the structure of three-body hypernuclei with S = -1 using pionless effective field theory at leading order in the isospin I = 0 and I = 1 sectors. In both sectors, three-body hypernuclei arise naturally from the Efimov effect and a three-body parameter is required at leading order. We apply our theory to the hypertriton and the hypothetical Ann bound state and calculate the corresponding scaling factors. Moreover, we discuss constraints on the existence of the Ann bound state. In particular, we elucidate universal correlations between different observables and provide explicit calculations of wave functions and matter radii.