Quark mass dependence of H-dibaryon in $\Lambda\Lambda$ scattering

Understand

We study the quark mass dependence of the H-dibaryon in the strangeness $S=-2$ baryon-baryon scattering.

• A low-energy effective field theory is used to describe the coupled-channel scattering, in which the quark mass dependence is incorporated so as to reproduce the lattice QCD data by the HAL QCD collaboration in the SU(3) limit.
• We point out the existence of the Castillejo-Dalitz-Dyson (CDD) pole in the $\Lambda\Lambda$ scattering amplitude below the threshold in the SU(3) limit, which may cause the Ramsauer-Townsend effect near the $N\Xi$ threshold at the physical point.
• The H-dibaryon is unbound at the physical point, and a resonance appears just below the $N\Xi$ threshold.