Eigenchannel R-matrix calculations (including effects of long-range mu
ltipole interactions beyond the reaction volume) for Li- photodetachme
nt partial cross sections from the vicinity of the Li 3s threshold to
the Li 6s threshold (3.8 eV less than or equal to (h) over bar omega l
ess than or equal to 5.65 eV) are presented. Excellent agreement with
the relative total cross section measurements of U. Berzinsh et al. [P
hys. Rev. Lett. 74, 4795 (1995)] in the vicinity of the Li 3s and Li 3
p thresholds is found. The calculated resonance structures are analyze
d in detail. In particular, the energy region between the Li 4s and Li
5p thresholds (for which there are as yet no experimental measurement
s) is shown to have types of doubly excited resonances which are promi
nent only because of the nonhydrogenic Li+ core; such types are weak o
r absent in higher-energy regions as well as in H- photodetachment spe
ctra.