Hadronic structure on the light-front IV: Heavy and light Baryons

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 $bbb,ccc,sss,uuu$.