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arXiv · 1904.05818

Three-Body Hypernuclei in Pionless Effective Field Theory

F. Hildenbrand·H. -W. Hammer
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Abstract

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 $Λnn$ bound state and calculate the corresponding scaling factors. Moreover, we discuss constraints on the existence of the $Λnn$ bound state. In particular, we elucidate universal correlations between different observables and provide explicit calculations of wave functions and matter radii.

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F. Hildenbrand, H. -W. Hammer. 2020-07-15. Three-Body Hypernuclei in Pionless Effective Field Theory. https://doi.org/10.1103/physrevc.100.034002

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