  We use a new eigenvalue concentration bound for the fluctuation of the sample
mean of the random extternal potential in the multi-particle Anderson model and
prove the spectral exponential and the strong dynamical localization. The
results just need some weaker condition on the distribution function of the
sample including a large class of probability distribution such as log-H\"older
continuous or Lipshitz continuous. The method also apply to i.i.d. random
Gaussian potential with independent fluctuations.
