Hadronic structure on the light front. IV. Heavy and light baryons

Abstract

This work is a continuation in our series of papers that addresses quark models of hadronic structure on the light front. The chief focus of this paper is the quantum-mechanical solution of the three-quark model Hamiltonian describing baryons. In Jacobi coordinates, we use a harmonic oscillator basis for the transverse directions. For the longitudinal momentum fractions ${x}_{i}$, the pertinent basis follows from quantum mechanics in a ``triangular cup'' potential, which we solve exactly. We calculate the masses and light-front wave functions for the flavor symmetric ${\frac{3}{2}}^{+}$ baryons $bbb$, $ccc$, $sss$, $uuu$.

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