Frequency-dependent stabilization of He- by a superintense laser field

Using the alternative representation of time-dependent Hamiltonians that describe laser-driven systems [I. Gilary and N. Moiseyev, Phys. Rev. A 66, 063415 (2002)], we have performed calculations for the stability of He- in a superintense linearly polarized laser field. We estimated the laser parameters, amplitude, and frequency needed to stabilize He-. If we choose the laser frequency omega=5 eV, the laser intensity needed for stabilization is I-critical=9.0x10(15) W/cm(2) and the maximal detachment energy is 1.0 eV. Our results show that high frequencies and large intensities are preferred for stabilizing multiply negative atomic ions in superintense laser fields.