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

Abstract

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. As a consequence of the coupled-channel dynamics, the pole associated with the resonance is not continuously connected to the bound state in the SU(3) limit. Through the extrapolation in quark masses, we show that the unitary limit of the $\Lambda \Lambda$ scattering is achieved between the physical point and the SU(3) limit. We discuss the possible realization of the "H-matter" in the unphysical quark mass region.

12 pages, 13 figures, 1 table

References in corpus (7)

• Effective Kbar N interaction based on chiral SU(3) dynamics
• Evidence for a Bound H-dibaryon from Lattice QCD
• Lambda-Lambda interaction from relativistic heavy-ion collisions
• Scattering Models for Ultracold Atoms
• Hadron mass scaling near the s-wave threshold
• On the nature of the $\Lambda (1405)$ and $\Lambda (1670)$ from their $N_c$ behavior in chiral dynamics
• Structure of the Lambda(1405) baryon resonance from its large Nc behavior

Cited by in corpus (2)

• Scattering of decuplet baryons in chiral effective field theory
• $\Lambda \Lambda N$-$\Xi NN$ $S$ wave resonance