Three-Body Hypernuclei in Pionless Effective Field Theory

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

arXiv comment26 pages, 13 figures, typos corrected, discussion of parameter space for Lambda_* extended, error in Figs. 5-7 and Lambda-d scattering length corrected, final version

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• The Continuum Spectrum of Hypernuclear Trios
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• Few nucleons scattering in pionless effective field theory
• Deuteron yields from LHC: Continuum correlations and in-medium effects
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• Probing the size and binding energy of the hypertriton in heavy ion collisions
• First measurement of A = 4 (anti)hypernuclei at the LHC
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• Recent progress on hypernuclei
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