We apply the close-coupling method in terms of the hyperspherical coor
dinates;to the two-electron system H-. A two-dimensional matching proc
edure is used to connect the close-coupling wave function to an indepe
ndent-electron wave function in the asymptotic region. The latter is d
escribed as the wave function of a detached electron moving in a dipol
e potential field of the neutral hydrogen atom. The total photodetachm
ent cross sections and the partial cross sections for the production o
f the H atoms in different states n are calculated up to the n=4 hydro
genic threshold. The results obtained in the length and acceleration f
orms agree within about three significant figures. The magnitude and s
hape of the P-1 degrees shape resonance just above the n=2 threshold a
re found to depend sensitively on the initial-state wave function. Thi
s appears to be one of the reasons for a disparity among the cross sec
tions in the literature. The present result improves greatly on the ex
isting computational results. The relative magnitudes of the,partial c
ross sections for the production of H (n=1,2,3) atoms below the n=4 th
reshold are substantially different from the only previous results of
the eigenchannel R-matrix calculations [H. R. Sadeghpour, C. H. Greene
, and M. Cavagnero, Phys. Rev. A 45, 1587 (1992)]. The present results
on both partial and total cross sections are in excellent agreement w
ith experiments.