Optimized Two-Baryon Operators in Lattice QCD

Abstract

A set of optimized interpolating operators which are dominantly coupled to each eigenstate of two baryons on the lattice is constructed by the HAL QCD method. To test its validity, we consider heavy dibaryons ${\Omega }_{3Q}{\Omega }_{3Q}$ ($Q=s,c$) calculated by (2+1)-flavor lattice QCD simulations with nearly physical pion mass. The optimized two-baryon operators are shown to provide effective energies of the ground and excited states separately stable as a function of the Euclidean time. Also they agree to the eigenenergies in a finite lattice box obtained from the leading-order HAL QCD potential $V(\mathbf{r})$ within statistical errors. The overlapping factors between the optimized sink operators and the state created by the wall-type source operator indicate that $V(\mathbf{r})$ can be reliably extracted, no matter whether the spacetime correlation of two baryons is dominated by the ground state or the excited state. It is suggested that the optimized set of operators is useful for variational studies of hadron-hadron interactions.

Accepted for publication in Physical Review D (8 pages, 7 figures)

References in corpus (5)

• Nuclear Force from Lattice QCD
• Unified contraction algorithm for multi-baryon correlators on the lattice
• Dibaryon with highest charm number near unitarity from lattice QCD
• Two-nucleon S-wave interactions at the $SU(3)$ flavor-symmetric point with $m_{ud}\simeq m_s^{\mathrm{phys}}$: a first lattice QCD calculation with the stochastic Laplacian Heaviside method
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• Construction of general $N$-body lattice operators with arbitrary momenta
• Wavefunction-based operator optimization for two-hadron systems in lattice QCD
• Decoding Two-Particle States in QCD with Spatial Wavefunctions