A non-perturbative calculation of meson and baryon masses with a one-parameter potential

Using a non-perturbative method and a Hamiltonian with only one parameter which is fitted from charmonium, we calculate the masses of all mesons and the baryon ground state masses. In addition we calculate the ratios of the leptonic width of the 1^{? ?} heavy quark bound states. Some general theorems are checked and the accuracy of the method used to solve the Schrödinger equation is discussed. The over-all agreement of the results with experiment is very good.