Abstract
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{sup -} in a superintense linearly polarized laser field. We estimated the laser parameters, amplitude, and frequency needed to stabilize He{sup -}. If we choose the laser frequency {omega}=5 eV, the laser intensity needed for stabilization is I{sup critical}=9.0x10{sup 15} W/cm{sup 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.
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