A self-consistent analytic treatment of two holes in the t-J model

The behavior of two holes in the t-J model is analyzed on the infinite squa re lattice by an extension of the self-consistent Born approximation, which has proved to be very accurate in the single-hole problem. The main ingred ient of our theory is the exact form of the eigenstates. Our results agree well with those of previous numerical studies of the problem. The d-wave bo und state is found to have the lowest energy with a critical value J/t \(c) approximate to 0.4, and there is no indication for a crossover between the d-wave and the p-wave bound states.