Double-Lambda hypernuclei within a Skyrme-Hartree-Fock approach

Abstract

We extend our Skyrme-Hartree-Fock (SHF) approach, which was used earlier to describe successfully the single-$\Lambda$ hypernuclei, to investigate the binding and the $\Lambda \Lambda$ bond energies of the double-$\Lambda$ hypernuclei. The nucleon-nucleon ($NN$) and $\Lambda$-nucleon ($\Lambda N$) interactions are taken from our previous study. For the $\Lambda \Lambda$ force several Skyrme-like potentials available in the literature have been used. We discuss the sensitivity of the calculated $\Lambda \Lambda$ binding and bond energies to the $\Lambda \Lambda$ and $\Lambda N$ force parameters. It is found that the existing $\Lambda \Lambda$ hypernuclear data do not allow to distinguish between various $\Lambda \Lambda$ force parameter sets used by us. However, they show some selectivity for a particular set of the $\Lambda N$ potential determined in our previous work.

13 pages, 4 figures, Journal print version

References in corpus (10)

• Evidence for a Bound H-dibaryon from Lattice QCD
• Baryon-baryon interactions in the SU6 quark model and their applications to light nuclear systems
• Hypernuclear Physics for Neutron Stars
• Five-body cluster structure of double-$\Lambda$ hypernucleus ${}_{\Lambda \Lambda }^{11}$Be
• Effects of Fock term, tensor coupling and baryon structure variation on a neutron star
• Double-$\Lambda$ hypernuclei in the relativistic mean-field theory
• To bind or not to bind: The H-dibaryon in light of chiral effective field theory
• Exotic bound states of two baryons in light of chiral effective field theory
• A study of Lambda hypernuclei within the Skyrme-Hartree-Fock Model
• Production of the H dibaryon via the (K^-,K^+) reaction on a ${}^{12}$C target

Cited by in corpus (1)

• Hyperon Puzzle of Neutron Stars with Skyrme Force Models