Properties of Scalar-Quark Systems in SU(3)c Lattice QCD

Abstract

We perform the first study for the bound states of colored scalar particles $ϕ$ ("scalar quarks") in terms of mass generation with quenched SU(3)$_c$ lattice QCD. We investigate the bound states of $ϕ$, $ϕ^\daggerϕ$ and $ϕϕϕ$ ("scalar-quark hadrons"), as well as the bound states of $ϕ$ and quarks $ψ$, i.e., $ϕ^\daggerψ$, $ψψϕ$ and $ϕϕψ$ ("chimera hadrons"). All these new-type hadrons including $ϕ$ have a large mass of several GeV due to large quantum corrections by gluons, even for zero bare scalar-quark mass $m_ϕ=0$ at $a^{-1}\sim 1{\rm GeV}$. We find a similar $m_ψ$-dependence between $ϕ^\daggerψ$ and $ϕϕψ$, which indicates their similar structure due to the large mass of $ϕ$. From this study, we conjecture that all colored particles generally acquire a large effective mass due to dressed gluons.