Binding energy of a Cooper pairs with non-zero center of mass momentum in d-wave superconductors

The binding energy of Cooper pairs has been calculated for the case of d  -wave symmetry of the superconducting gap in layered cuprate superconductors. We assume that Cooper pairs are formed by the short range potential and then derive the binding energy in the form Δkq=Δx(q)coskxa+Δy(q)coskya+Ωx(q)sinkxa+Ωy(q)sinkyaΔkq=Δx(q)coskxa+Δy(q)coskya+Ωx(q)sinkxa+Ωy(q)sinkya, where q is a total momentum of the pair. Numerical solutions of the self-consistent system of the integral equations for quantities Δx(q)Δx(q), Δy(q)Δy(q) and Ωx(q)Ωx(q), Ωy(q)Ωy(q) along different lines in qxqx, qyqy planes have been obtained. Anisotropy of the depairing total momentum (or depairing current) has been calculated.