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