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.

arXiv comment12 pages, 13 figures, 1 table

References in corpus (31)

• Modern Theory of Nuclear Forces
• Universality in Few-body Systems with Large Scattering Length
• Effective Field Theory for Few-Nucleon Systems
• Effective Field Theory for Short-Range Forces
• Nucleon-Nucleon Scattering from Effective Field Theory
• The nature of the Lambda(1405) resonance in chiral dynamics
• Bound H-dibaryon in Flavor SU(3) Limit of Lattice QCD
• Chiral SU(3) theory of antikaon-nucleon interactions with improved threshold constraints
• Evidence for a Bound H-dibaryon from Lattice QCD
• Effective Kbar N interaction based on chiral SU(3) dynamics
• More Effective Field Theory for Nonrelativistic Scattering
• Two-Baryon Potentials and H-Dibaryon from 3-flavor Lattice QCD Simulations
• The Deuteron and Exotic Two-Body Bound States from Lattice QCD
• Simple Description of Pion-Pion Scattering to 1 GeV
• Lambda-Lambda interaction from relativistic heavy-ion collisions
• Strangeness S=-2 baryon-baryon interaction at next-to-leading order in chiral effective field theory
• Mass of the H-dibaryon
• Scattering Models for Ultracold Atoms
• Hadron-Hadron Correlation and Interaction from Heavy-Ion Collisions
• Possible ${\Lambda }_c{\Lambda }_c$ molecular bound state
• To bind or not to bind: The H-dibaryon in light of chiral effective field theory
• Coupled channel approach to strangeness S = -2 baryon-bayron interactions in Lattice QCD
• Search for an H-dibaryon with mass near 2m_Lambda in Y(1S) and Y(2S) decays
• Exotic bound states of two baryons in light of chiral effective field theory
• On the nature of the $\Lambda (1405)$ and $\Lambda (1670)$ from their $N_c$ behavior in chiral dynamics
• Hadron mass scaling near the s-wave threshold
• Structure of the Lambda(1405) baryon resonance from its large Nc behavior
• Search for weakly decaying $\overline{\Lambda \mathrm{n}}$ and $\Lambda \Lambda$ exotic bound states in central Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Universal physics of three bosons with isospin
• H-dibaryon matter in the Skyrme model on a hypersphere
• Quark mass dependence of H-dibaryon

Cited by in corpus (17)

• Exotic Hadrons from Heavy Ion Collisions
• Coupled-channel effects in hadron-hadron correlation functions
• Weakly bound $H$ dibaryon from SU(3)-flavor-symmetric QCD
• Hidden-charm and bottom meson-baryon molecules coupled with five-quark states
• Leading order relativistic hyperon-nucleon interactions in chiral effective field theory
• Strangeness $S=-2$ baryon-baryon interactions in relativistic chiral effective field theory
• Scattering of decuplet baryons in chiral effective field theory
• Structure of hadron resonances with a nearby zero of the amplitude
• Hadron-hadron potentials coupled to quark degrees of freedom for exotic hadrons
• Compositeness of hadron resonances in finite volume
• Universal physics of the few-body system of two neutrons and one flavored meson
• $\Lambda \Lambda N$-$\Xi NN$ $S$ wave resonance
• Double-strangeness production in $\Lambda p\to K^{+}X$ reaction
• Effect of thresholds on the width of three-body resonances
• Lattice QCD study of ${\Lambda }_c{\Lambda }_c$ scattering
• Neutral baryonic systems with strangeness
• Investigation of ${\Xi }^{-}nn$ ($S=-2$) Hypernucleus in Low-energy Pionless Halo Effective Theory