0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 0 0.5 1 1.5 2 Photon energy (eV) Cross section (a.u.) 0 50 100 150 200 250 300 1 2 3 4 5 6 7 x/a$_{0}$ | F(x) |  (arb. units) average cross section cross section for  $_{L}$=0 (a) (b) FIG. 4: (a) The total photodetachment cross section for d = 100 a$_{0}$ and θ L = 0 (solid line) and the average cross section (dotted line). (b) The transformations defined in Eq.(18) for the above two cross sections. 14