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.

26 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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Cited by in corpus (27)

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• Hyperon-nucleon interaction within chiral effective field theory revisited
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• On coalescence as the origin of nuclei in hadronic collisions
• Measurement of the lifetime and $\Lambda$ separation energy of ${}_{\Lambda }^3\mathrm{H}$
• Hypertriton production in p-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Towards the understanding of the genuine three-body interaction for p$-$p$-$p and p$-$p$-\Lambda$
• Exploring the $\Lambda$-deuteron interaction via correlations in heavy-ion collisions
• Lifetime of the hypertriton
• The Continuum Spectrum of Hypernuclear Trios
• Nature of the $\Lambda nn$ $(J^{\pi }=1/2^{+},I=1)$ and ${}_{\mathrm{\Lambda }}^3{\mathrm{H}}^{\ast }(J^{\pi }=3/2^{+},I=0)$ states
• Few nucleons scattering in pionless effective field theory
• Deuteron yields from LHC: Continuum correlations and in-medium effects
• In-medium $\Lambda$ isospin impurity from charge symmetry breaking in the ${}_{\Lambda }^4\mathrm{H}-{}_{\Lambda }^4\mathrm{He}$ mirror hypernuclei
• Probing the size and binding energy of the hypertriton in heavy ion collisions
• First measurement of A = 4 (anti)hypernuclei at the LHC
• Consequences of increased hypertriton binding for $s$-shell $\Lambda$-hypernuclear systems
• Measurement of ${}_{\Lambda }^3\mathrm{H}$ production in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Faddeev calculations of low-energy $\Lambda$-deuteron scattering and momentum correlation function
• Study on $\Lambda nn$ Bound State and Resonance
• The Baryon-Baryon Interaction in the Large-$N_c$ Limit
• Recent progress on hypernuclei
• ${}_{\Lambda \Lambda }^5$H and ${}_{\Lambda \Lambda }^5$He Hypernuclei reexamined in Halo/Cluster Effective Theory
• Investigation of ${\Xi }^{-}nn$ ($S=-2$) Hypernucleus in Low-energy Pionless Halo Effective Theory
• A Data-Guided Coalescence Model for Light Nuclei and Hypernuclei Production in Relativistic Heavy-Ion Collisions at $\sqrt{s_{\mathrm{NN}}}=3$--200 GeV