The onset of $\Lambda \Lambda$ hypernuclear binding

Abstract

Binding energies of light, $A\le 6$, $\Lambda \Lambda$ hypernuclei are calculated using the stochastic variational method in a pionless effective field theory (EFT) approach at leading order with the purpose of assessing critically the onset of binding in the strangeness S=-2 hadronic sector. The EFT input in this sector consists of (i) a $\Lambda \Lambda$ contact term constrained by the $\Lambda \Lambda$ scattering length $a_{\Lambda \Lambda }$, using a range of values compatible with $\Lambda \Lambda$ correlations observed in relativistic heavy ion collisions, and (ii) a $\Lambda \Lambda N$ contact term constrained by the only available $A\le 6$ $\Lambda \Lambda$ hypernucler binding energy datum of ${}_{\Lambda \Lambda }^6$He. The recently debated neutral three-body and four-body systems ${}_{\Lambda \Lambda }^3$n and ${}_{\Lambda \Lambda }^4$n are found unbound by a wide margin. A relatively large value of $|a_{\Lambda \Lambda }|\gtrsim 1.5$ fm is needed to bind ${}_{\Lambda \Lambda }^4$H, thereby questioning its particle stability. In contrast, the particle stability of the $A=5$ $\Lambda \Lambda$ hypernuclear isodoublet ${}_{\Lambda \Lambda }^5$H--${}_{\Lambda \Lambda }^5$He is robust, with $\Lambda$ separation energy of order 1 MeV.

arXiv commentv2 -- 14 pages, 4 figures, 1 table, slightly revised, accepted for publication in PLB

References in corpus (37)

• Soft-core hyperon-nucleon potentials
• Strangeness in nuclear physics
• Effective Field Theory for Short-Range Forces
• Effective Theory of the Triton
• Hyperon-nucleon interaction at next-to-leading order in chiral effective field theory
• Properties of Strange Hadronic Matter in Bulk and in Finite Systems
• Hyperon-nucleon interactions - a chiral effective field theory approach
• Two-Baryon Potentials and H-Dibaryon from 3-flavor Lattice QCD Simulations
• Strangeness S=-2 baryon-baryon interactions using chiral effective field theory
• The Hypernuclei ${}_{\Lambda }^4$He and ${}_{\Lambda }^4$H: Challenges for Modern Hyperon-Nucleon Forces
• p-p, p-$\Lambda$ and $\Lambda$-$\Lambda$ correlations studied via femtoscopy in pp reactions at $\sqrt{s}$ = 7 TeV
• On the correlation between the binding energies of the triton and the alpha-particle
• Study of the $\Lambda$-$\Lambda$ interaction with femtoscopy correlations in pp and p-Pb collisions at the LHC
• Effective Field Theory for Lattice Nuclei
• Faddeev-Yakubovsky calculations for light Lambda-Lambda hypernuclei
• Ground-State Properties of ${}^4$He and ${}^{16}$O Extrapolated from Lattice QCD with Pionless EFT
• Lambda-Lambda interaction from relativistic heavy-ion collisions
• Strangeness S=-2 baryon-baryon interaction at next-to-leading order in chiral effective field theory
• Hadron-Hadron Correlation and Interaction from Heavy-Ion Collisions
• Light Lambda-Lambda Hypernuclei and the Onset of Stability for Lambda-Xi Hypernuclei
• Faddeev-Yakubovsky search for Lambda-Lambda hydrogen-4
• Observation of a Be double-Lambda hypernucleus in the J-PARC E07 experiment
• Shell-model predictions for double-Lambda hypernuclei
• Full-Coupled Channel Approach to Doubly Strange $s$-Shell Hypernuclei
• Exotic bound states of two baryons in light of chiral effective field theory
• Spectra and Scattering of Light Lattice Nuclei from Effective Field Theory
• Effective Field Theory for Few-Boson Systems
• Stochastic Variational Search for ${}_{\Lambda \Lambda }^4$H
• Resolving the $\Lambda$ hypernuclear overbinding problem in pionless effective field theory
• The lightest neutral hypernuclei with strangeness -1 and -2
• Lambda-Lambda bond energy from the Nijmegen potentials
• Scattering lengths of strangeness S=-2 baryon-baryon interactions
• Electromagnetic characteristics of $A\le 3$ physical and lattice nuclei
• ${}_{\Lambda \Lambda }^4$H in halo effective field theory
• ${}_{\Lambda \Lambda }^{6}He$ in cluster effective field theory
• Comment on recent Strangeness -2 predictions
• The ${}_{\Lambda \Lambda }^{4}n$ system

Cited by in corpus (15)

• Nuclear effective field theory: status and perspectives
• Possible lightest $\Xi$ Hypernucleus with Modern $\Xi N$ Interactions
• Jacobi no-core shell model for $p$-shell hypernuclei
• 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
• S-shell $\Lambda \Lambda$ hypernuclei based on chiral interactions
• In-medium $\Lambda$ isospin impurity from charge symmetry breaking in the ${}_{\Lambda }^4\mathrm{H}-{}_{\Lambda }^4\mathrm{He}$ mirror hypernuclei
• Hypernuclear constraints on the existence and lifetime of a deeply bound $H$ dibaryon
• Consequences of increased hypertriton binding for $s$-shell $\Lambda$-hypernuclear systems
• Hadrons and Few-Body Physics
• ${\Xi }^{-}t$ quasibound state instead of $\Lambda \Lambda nn$ bound state
• Neutral baryonic systems with strangeness
• Investigation of ${\Xi }^{-}nn$ ($S=-2$) Hypernucleus in Low-energy Pionless Halo Effective Theory
• ${}_{\Lambda \Lambda }^5$H and ${}_{\Lambda \Lambda }^5$He Hypernuclei reexamined in Halo/Cluster Effective Theory
• Machine learning the single-$\Lambda$ hypernuclei with neural-network quantum states
• Recent progress on few-body hypernuclei