Lattice QCD studies on baryon interactions from Lüscher's finite volume method and HAL QCD method

Abstract

A comparative study between the Lüscher's finite volume method and the time-dependent HAL QCD method is given for the $\Xi \Xi$(${}^1{\mathrm{S}}_0$) interaction as an illustrative example. By employing the smeared source and the wall source for the interpolating operators, we show that the effective energy shifts $\Delta E_{\mathrm{eff}}(t)$ in Lüscher's method do not agree between different sources, yet both exhibit fake plateaux. On the other hand, the interaction kernels $V(\vec{r})$ obtained from the two sources in the HAL QCD method agree with each other already for modest values of $t$. We show that the energy eigenvalues $\Delta E(L)$ in finite lattice volumes ($L^3$) calculated by $V(\vec{r})$ indicate that there is no bound state in the $\Xi \Xi {(}^1{\mathrm{S}}_0)$ channel at $m_{\pi }=0.51$ GeV in 2+1 flavor QCD.

7 pages, 5 figures, and 2 tables, Proceedings for the 33rd International Symposium on Lattice Field Theory (Lattice 2015), 14-18 July 2015, Kobe, Japan. Minor corrections

References in corpus (4)

• Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry
• Lattice QCD approach to Nuclear Physics
• $\Omega \Omega$ interaction from 2+1 flavor lattice QCD
• Hadronic Interactions

Cited by in corpus (4)

• Heavy Hadrons in Nuclear Matter
• First results of baryon interactions from lattice QCD with physical masses (1) -- General overview and two-nucleon forces --
• Towards Lattice QCD Baryon Forces at the Physical Point: First Results
• Baryon interactions in lattice QCD: the direct method vs. the HAL QCD potential method