Coulomb Green's functions in the problem of photodetachment of the negatively charged hydrogen ion

We propose a new approach to calculate the photodetachment cross section of the atom using the Green's function for summation over the final states of the system. In the present work, we consider this approach for the calculation of the photodetachment cross section for the two electron atomic system, namely, the negatively charged hydrogen ion H^- using the two-electron Coulomb Green's function. The analytical form of this function is obtained by convolution of the one-particle Coulomb Green's functions in the framework of the regular perturbation theory. Our results are in good agreement with available experimental data. (authors)