We extract from the strong-coupling Hamiltonian lattice formulation of QCD a model for hadrons based on the use of quark and flux-tube degrees of freedom. The ordinary quark model of mesons and baryons is recovered as an appropriate limit, but the properties of hybrids, pure glue, and multiquark hadrons are also predicted by the model. The basic tenets of the model can be tested by lattice Monte Carlo simulations.
Four-quark potentials for $SU(2)$ are evaluated in the static limit with the
quenched approximation -- using a lattice of $16^3\times 32$ and $\beta=2.4$.
The four quarks are restricted to the corners of rectangles with sides upto
seven lattice spacings long. The results are analysed in terms of a strategy
based on interquark two-body potentials -- as advocated earlier by the authors.
This shows that a standard two-body approach overestimates the four-quark
binding energy by upto a factor of about three for the largest rectangles.Comment: 26 pages, HU-TFT-92-1
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