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Preliminary study of the $H$ dibaryon in $N_{\rm f}=2+1$ lattice QCD

André Baião Raposo, John Bulava, Jeremy R. Green, Andrew D. Hanlon, Davide Laudicina, Malcolm Lazarow, Colin Morningstar, Amy Nicholson, Fernando Romero-López, Miguel Salg, André Walker-Loud, Hartmut Wittig

Abstract

We present preliminary results on the $I=0$, $S=-2$ $H$ dibaryon in $N_{\rm f}=2+1$ QCD. The calculation is performed with heavier-than-physical quarks ($m_π\approx 280$ MeV) on a single CLS ensemble. Correlation matrices are constructed using the distillation technique and the three relevant channels, $ΛΛ$, $NΞ$, $ΣΣ$, are investigated to determine the interacting spectrum relevant for $S$-wave across multiple momentum frames. The scattering amplitude is determined by solving the corresponding two-body quantization condition. These preliminary results are part of the ongoing efforts to determine the properties of di-hyperons and to establish whether the $H$ dibaryon exists down to physical quark masses.

Preliminary study of the $H$ dibaryon in $N_{\rm f}=2+1$ lattice QCD

Abstract

We present preliminary results on the , dibaryon in QCD. The calculation is performed with heavier-than-physical quarks ( MeV) on a single CLS ensemble. Correlation matrices are constructed using the distillation technique and the three relevant channels, , , , are investigated to determine the interacting spectrum relevant for -wave across multiple momentum frames. The scattering amplitude is determined by solving the corresponding two-body quantization condition. These preliminary results are part of the ongoing efforts to determine the properties of di-hyperons and to establish whether the dibaryon exists down to physical quark masses.
Paper Structure (8 sections, 5 equations, 3 figures, 2 tables)

This paper contains 8 sections, 5 equations, 3 figures, 2 tables.

Table of Contents

  1. Introduction
  2. Lattice setup
  3. Methodology
  4. Operator construction
  5. Spectrum determination
  6. Lüscher analysis
  7. Preliminary results
  8. Summary and outlook

Figures (3)

  • Figure 1: Lattice results for the binding energy as a function of the pion mass. Filled and empty symbols correspond to calculations in $SU(3)$-symmetric and $SU(3)$-broken QCD respectively.
  • Figure 2: Left: effective energy of the ground state two-particle correlator in the rest frame for the $A_{1g}$ irrep. The red curve is the optimal model chosen as discussed in the main text, while the gray band shows the estimate of the corresponding energy. Right: effective energy of the one-particle correlator associated with the $\Lambda$ baryon in the rest frame. The orange lines are different estimates of the mass, the transparency of each line corresponds to the weight of each model entering the model-averaging procedure, while the gray band is the final estimate.
  • Figure 3: The spectrum on the D251 ensemble. Blue points are the energy levels extracted from lattice correlators, gray dashed lines are the corresponding non-interacting energy levels. Black and blue solid lines represent the relevant two-body thresholds. The green dashed lines are the most relevant left-hand cuts in the diagonal channels. Points are horizontally offset for clarity.