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Cross sections of one- and two-photon detachment of the hydrogen negative ion

The model non-local separable Yamaguchi potential is proposed as being particularly appropriate for the description of the interaction of a detached electron with its parent residual atomic core in a theoretical treatment of the processes of H- negative ion multiphoton detachment in a monochromatic electromagnetic (EM) field of both linear and circular polarization. Within the framework of that model we derive exact analytical expressions for the cross sections of the one- and two-photon H- detachment processes in the lowest orders of perturbation theory on EM interaction of the detached electron with an ionizing field and studied the effect of various values of the problem parameters. We show that both obtained cross sections are in good agreement with the values measured in relevant experiments and the best results calculated by other authors with different (but much more sophisticated and complicated) approaches and methods.