Three-Body Hypernuclei in Pionless Effective Field Theory

Understand

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 $\Lambda nn$ bound state and calculate the corresponding scaling factors.
• Moreover, we discuss constraints on the existence of the $\Lambda nn$ bound state.