In this paper we compare the results of our adiabatic theory (Gribakin and
Kuchiev, Phys. Rev. A, accepted for publication) with other theoretical and
experimental results, mostly for halogen negative ions. The theory is based on
the Keldysh approach. It shows that the multiphoton detachment rates and the
corresponding n-photon detachment cross sections depend only on the asymptotic
behaviour of the bound state radial wave function. The dependence on the
exponent is very strong. This is the main reason for the disagreement with some
previous calculations, which employed bound state wave functions with incorrect
asymptotic forms. In a number of cases our theoretical results produces best
agreement with absolute and relative experimental data.Comment: 9 pages, Latex, IOP style, and 3 figures fig1.ps, fig2.ps, fig3.ps,
submitted to J. Phys.