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The method of time-dependent quantum wave packet dynamics is used to calculate the femtosecond pump-probe photoelectron spectra and study the wave packet dynamic processes of the double-minimum potential state 61∑+ of NaK in intense laser fields. The evolutions of the wave packet and the photoelectron energy spectra with time and inteuclear distance are described in detail. The wave packet dynamic information of the 61∑+ state can be extracted from the photoelectron energy spectra.