In (1), an exact solution of the Dirac equations is given for the Cornell Potential V(r)=ar-b/r+cr*r In (2), the authors apply the Nikiforov-Uvarov NU method to obtain the same solution. In this note, we use an approach applied in notes (3) and (4) to try to show the Cornell potential is consistent with a hypergeometric equation which has a Rodrigues polynomial solution. In (3) and (4), the one dimensional Dirac equations were considered and solutions of the form u(x)=uo(x)u1(x) and

more »

... (x), where uo and vo are ground state solutions, were examined. It was shown one could eliminate the potential and obtain a second order DE for v1(x). (Alternatively, this could be done for u1.) Forcing this equation to conform to the hypergeometric form yielded a relationship between vo/uo and V(x) the potential. For the 3D case with the Cornell potential, the equations are a little different, but the same method can be applied, it seems. We first try to obtain a second order decoupled DE by using u(x)=uo(x)u1(x) etc and then force hypergeometric conditions to show that the Cornell potential is a solution for V(r). It then follows that u1(r) is given by a Rodrigues polynomial. We again link V(r) to vo(r)/uo(r).