The Lambda-Lambda Interaction and ^{6}_{Lambda Lambda}He

Abstract

An OBE potential model for the ^{1}S_0 S = -2 interaction is analyzed with emphasis on the role of coupling between the Lambda Lambda, N Xi, and Sigma Sigma channels. Singlet scalar exchange, an approximation to two-pion exchange, is significant in all channels; surprisingly, the one-pion exchange component is almost negligible. The size of the channel coupling as a function of the overall strength of the OBE model potential is examined. Implications of the analysis for the binding energy of ^{6}_{Lambda Lambda}He are considered; the new experimental datum may suggest a consistency between the extracted Lambda Lambda matrix element and the relation implied by SU(3) among OBE baryon-baryon interactions. \\

4 pages brief report to Physical Review C

References in corpus (2)

• Faddeev-Yakubovsky calculations for light Lambda-Lambda hypernuclei
• Light Lambda-Lambda Hypernuclei and the Onset of Stability for Lambda-Xi Hypernuclei

Cited by in corpus (14)

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• Strangeness S=-2 baryon-baryon interaction at next-to-leading order in chiral effective field theory
• Faddeev calculations for the A=5,6 Lambda-Lambda hypernuclei
• Full-Coupled Channel Approach to Doubly Strange $s$-Shell Hypernuclei
• Strangeness $S=-2$ baryon-baryon interactions in relativistic chiral effective field theory
• Lambda-Lambda bond energy from the Nijmegen potentials
• Cluster models of Lambda-Lambda-6He and Lambda-9Be hypernuclei
• Scattering lengths of strangeness S=-2 baryon-baryon interactions
• Hyperonic mixing in five-baryon double-strangeness hypernuclei in a two-channel treatment
• Lambda-Lambda hypernuclei and stranger systems
• Scalar-Meson - Baryon Coupling Constants in QCD Sum Rules
• Comment on recent Strangeness -2 predictions
• Neutral baryonic systems with strangeness
• Double-Lambda hypernuclei within a Skyrme-Hartree-Fock approach