Study on $\Lambda nn$ Bound State and Resonance

Abstract

We perform the ab initio no-core shell model (NCSM) calculation to investigate the bound state problem of the three-body $\Lambda nn$ system in chiral next-to-next-to-leading-order NN and chiral leading-order YN interactions. The calculations show that no $\Lambda nn$ bound state exists, but predict a low-lying $\Lambda nn$ resonant state near the threshold with the energy of $E_r=0.124$ MeV and the width of about $\Gamma =1.161$ MeV. In searching for $\Lambda nn$ resonances, we extend the NCSM calculation to the continuum state by employing the J-matrix formalism in the scattering theory with the hyperspherical oscillator basis.

4 figures, 5 pages

References in corpus (7)

• Hyperon-nucleon interactions - a chiral effective field theory approach
• Prediction for a four-neutron resonance
• Three-body structure of the $nn\Lambda$ system with $\Lambda N-\Sigma N$ coupling
• $\Lambda NN$ and $\Sigma NN$ systems at threshold
• Shell Model States in the Continuum
• Three-body resonances Lambda-n-n and Lambda-Lambda-n
• Systematic Nuclear Uncertainties in the Hypertriton System