$\Lambda \Lambda$-$\Xi N$-$\Sigma \Sigma$ coupling in ${}_{\Lambda \Lambda }^6$He with the Nijmegen soft-core potentials

Abstract

The $\Lambda \Lambda$-$\Xi N$-$\Sigma \Sigma$ coupling in ${}_{\Lambda \Lambda }^6$He is studied with the [$\alpha$ + $\Lambda$ + $\Lambda$] + [$\alpha$ + $\Xi$ + $N$] + [$\alpha$ + $\Sigma$ + $\Sigma$] model, where the $\alpha$ particle is assumed as a frozen core. We use the Nijmegen soft-core potentials, NSC97e and NSC97f, for the valence baryon-baryon part, and the phenomenological potentials for the $\alpha -B$ parts ($B$=$N$, $\Lambda$, $\Xi$ and $\Sigma$). We find that the calculated $\Delta B_{\Lambda \Lambda }$ of ${}_{\Lambda \Lambda }^6$He for NSC97e and NSC97f are, respectively, 0.6 and 0.4 MeV in the full coupled-channel calculation, the results of which are about half in comparison with the experimental data, $\Delta B_{\Lambda \Lambda }^{exp}=1.01\pm 0.20_{-0.11}^{+0.18}$ MeV. Characteristics of the $S=-2$ sector in the NSC97 potentials are discussed in detail.

18 pages, 4 figures

References in corpus (9)

• The Confinement Problem in Lattice Gauge Theory
• Soft-core baryon-baryon potentials for the complete baryon octet
• Four-body cluster structure of $A=7-10$ double-$\Lambda$ hypernuclei
• Faddeev-Yakubovsky calculations for light Lambda-Lambda hypernuclei
• Light Lambda-Lambda Hypernuclei and the Onset of Stability for Lambda-Xi Hypernuclei
• Faddeev calculations for the A=5,6 Lambda-Lambda hypernuclei
• Lambda Lambda-XiN Coupling Effects in Light Hypernuclei
• Hyperonic mixing in five-baryon double-strangeness hypernuclei in a two-channel treatment
• Brueckner Rearrangement Effects in ${}_{\Lambda }^5$He and ${}_{\Lambda \Lambda }^6$He

Cited by in corpus (8)

• Extended-soft-core Baryon-Baryon Model II. Hyperon-Nucleon Interaction
• Strangeness S=-2 baryon-baryon interaction at next-to-leading order in chiral effective field theory
• 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
• Full-coupled channel approach to S=-2 s-shell hypernuclear systems
• Variational Monte-carlo study of ${}_{\Lambda \Lambda }^{4}H$