Abstract
Within the framework of the nonrelativistic quark model, a simple field-theoretical prescription is given for using quadratic mass formulas for all mesons and linear mass formulas for all baryons. It is postulated that the unperturbed part of the quark-system Hamiltonian possesses $\mathrm{SU}(6)$ symmetry with respect to the spin and unitary spin of the constituent quarks. Quadratic mass relations within meson multiplets as well as quadratic electromagnetic mass relations are derived, and it is shown that the parameters can be uniquely fitted to experiment, avoiding the serious discrepancy which exists when such a fit is attempted in the standard quark-model framework which uses linear mass relations.
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