Incorporating pion effects into the naive quark model

A hybrid of the naive nonrelativistic quark model and the Chew-Low model is proposed. The pion is treated as an elementary particle which interacts with the "bare baryon" or "baryon core" via the Chew-Low interaction. The baryon core, which is the source of the pion interaction, is described by the naive nonrelativistic quark model. It turns out that the baryon-core radius has to be as large as 0.8 fm, and consequently the cutoff momentum $\Lambda$ for the pion interaction is $\lesssim 3m_{\pi }$, $m_{\pi }$ being the pion mass. Because of this small $\Lambda$ (as compared with $\Lambda \sim \mathrm{nucleon}$ mass in the old Chew-Low model) the effects of the pion cloud are strongly suppressed. The baryon masses, baryon magnetic moments (except for ${\Xi }^{-}$), and the nucleon charge radii can be reproduced quite well. However, we found it singularly difficult to fit the axial-vector weak decay constant $g_A$.