  A search for the pseudoscalar meson eta_b is performed in two-photon
interactions at LEP~2 with an integrated luminosity of 699 pb^-1 collected at
e+e- centre-of-mass energies from 181 GeV to 209 GeV. One candidate event is
found in the six-charged-particle final state and none in the
four-charged-particle final state, in agreement with the total expected
background of about one event. Upper limits of Gamma_gammagamma(eta_b) *
BR(eta_b -> 4 charged particles) < 48 eV Gamma_gammagamma(eta_b) * BR(eta_b ->
6 charged particles) < 132 eV are obtained at 95% confidence level, which
correspond to 95% confidence level upper limits of 9.0% and 25% on these
branching ratios.
