The HAL QCD potential in the = 1 System With the Meson Bound State
Yutaro Akahoshi (Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, , Kyoto 606-8502, , Japan); Sinya Aoki (Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, , Kyoto 606-8502, , Japan); Tatsumi Aoyama (Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization, (KEK), Tsukuba, Ibaraki 305-0801, , Japan); Takumi Doi (RIKEN Nishina Center (RNC), , Saitama 351-0198, , Japan); Takaya Miyamoto (RIKEN Nishina Center (RNC), , Saitama 351-0198, , Japan); et al - Show all 6 authors
Abstract We investigate the HAL QCD potential in scattering using the hybrid method for all-to-all propagators, in which a propagator is approximated by low eigenmodes, and the remaining high-eigenmode part is stochastically estimated. To verify the applicability of the hybrid method to systems containing quark creationannihilation contributions such as the meson, we calculate the potential with the -flavor gauge configurations on a lattice with lattice spacing fm and MeV, in which the meson appears as a deeply bound state. While we find that the naive stochastic evaluations for quark creationannihilation contributions lead to extremely large statistical fluctuations, additional noise reduction methods enable us to obtain a sufficiently precise potential, which shows a strong attractive force. We also confirm that the binding energy and obtained from our potential are roughly consistent with an existing meson bound state, within the large systematic error associated with our calculation, whose possible origin is also discussed.
