  The Standard Model while successful in many ways is incomplete; many
questions remain. The origin of quark masses and hadronization of quarks are
awaiting an answer. From the Dirac sea concept, we infer that two kinds of
elementary quarks (u(0) and d(0)) constitute a body center cubic (BCC) quark
lattice with a lattice constant a < $10^{-18}$m in the vacuum. Using energy
band theory and the BCC quark lattice, we can deduce the rest masses and the
intrinsic quantum numbers (I, S, C, b and Q) of quarks. With the quark
spectrum, we deduce a baryon spectrum. The theoretical spectrum is in agreement
well with the experimental results. Not only will this paper provide a physical
basis for the Quark Model, but also it will open a door to study the more
fundamental nature at distance scales <$10^{-18}$m. This paper predicts some
new quarks $u_{c}$(6490) and d$_{b}$(9950), and new baryons
$\Lambda_{c}^{+}$(6500), $\Lambda_{b}^{0}$(9960).
