Neutron-rich hypernuclei: Lambda-6H and beyond

Abstract

Recent experimental evidence presented by the FINUDA Collaboration for a particle-stable Lambda-6H has stirred renewed interest in charting domains of particle-stable neutron-rich Lambda hypernuclei, particularly for unbound nuclear cores. We have studied within a shell-model approach several neutron-rich Lambda hypernuclei in the nuclear p shell that could be formed in (pi-,K+) or in (K-,pi+) reactions on stable nuclear targets. Hypernuclear shell-model input is taken from a theoretically inspired successful fit of gamma-ray transitions in p-shell Lambda hypernuclei which includes also Lambda-N <-> Sigma-N coupling (Lambda<->Sigma coupling). The particle stability of Lambda-6H is discussed and predictions are made for binding energies of Lambda-9He, Lambda-10Li, Lambda-12Be, Lambda-14B. None of the large effects conjectured by some authors to arise from Lambda<->Sigma coupling is borne out, neither by these realistic p-shell calculations, nor by quantitative estimates outlined for heavier hypernuclei with substantial neutron excess.

15 pages, including 1 figure and 6 tables, presented at INPC2013; v4: typos corrected, matching PLB published version

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• Search for ${}_{\Lambda }^6$H hypernucleus by the ${}^6$Li$({\pi }^{-},K^{+})$ reaction at $p_{{\pi }^{-}}$ = 1.2 GeV/$c$
• Induced Hyperon-Nucleon-Nucleon Interactions and the Hyperon Puzzle
• Hadron Physics at J-PARC
• Jacobi no-core shell model for $p$-shell hypernuclei
• Hyperon halo structure of C and B isotopes
• First Determination of Level Structure of an $sd$-Shell Hypernucleus, ${}_{\mathrm{\Lambda }}^{19}\mathrm{F}$
• Missing-mass spectroscopy with the ${}^6$Li(${\pi }^{-},K^{+}$)X reaction to search for ${}_{\Lambda }^6$H
• Repulsion and absorption of the $\Sigma$-nucleus potential for ${\Sigma }^{-}$-${}^5$He in the ${}^6$Li(${\pi }^{-}$, $K^{+}$) reaction
• In-medium $\Lambda$ isospin impurity from charge symmetry breaking in the ${}_{\Lambda }^4\mathrm{H}-{}_{\Lambda }^4\mathrm{He}$ mirror hypernuclei
• Charge symmetry breaking in light $\Lambda$ hypernuclei
• Nonmesonic Weak Decay of $\Lambda$ Hypernuclei: The Three--Nucleon Induced Mode
• $p$-shell hypernuclear structures using the Gogny-interaction shell model
• Neutral baryonic systems with strangeness
• Charge symmetry breaking in $\Lambda$ hypernuclei: updated HYP 2015 progress report
• Old and New in Strangeness Nuclear Physics