Volume 334 - The 36th Annual International Symposium on Lattice Field Theory (LATTICE2018) - Hadron Spectroscopy and Interactions
HAL QCD method and Nucleon-Omega interaction with physical quark masses
T. Iritani* On behalf of the HAL QCD Collaboration
*corresponding author
Full text: pdf
Published on: 2019 May 29
Abstract
In lattice QCD, both direct method and HAL QCD method are used to investigate the two-baryon systems. We show that due to the contamination of the scattering excited states, it is challenging to measure the eigenenergy from the temporal correlation in the direct method, while the HAL QCD method can extract the information of the interaction from both scattering states and ground state by using the spatial correlation. We examine the systematic uncertainty of the derivative expansion in the HAL QCD method, which is found to be well under control at the low energies. By using the time-dependent HAL QCD method, we study the nucleon($N$)-Omega($\Omega$) system in the $^5$S$_2$ channel with almost physical quark masses at $m_\pi \simeq 146$ MeV. We find the interaction is attractive at all distances, which produces a quasi-bound state with the binding energy 1.54(0.30)($^{+0.04}_{-0.10}$) MeV. We also consider the extra Coulomb interaction in the $p\Omega^{-}$($^5$S$_2$) system, whose binding energy becomes 2.46(0.34)($^{+0.04}_{-0.01}$) MeV. $N\Omega$($^5$S$_2$) dibaryon could be searched through two-particle correlations in the heavy ion collision experiments.
DOI: https://doi.org/10.22323/1.334.0090
Open Access