  We provide a new construction of infraparticle states in the massless Nelson
model. The approximating sequence of our infraparticle state does not involve
any infrared cut-offs. Its derivative w.r.t. the time parameter $t$ is given by
a simple explicit formula. The convergence of this sequence as $t\to \infty$ to
a non-zero limit is then obtained by the Cook method combined with stationary
phase estimates. To apply the latter technique we exploit recent results on
regularity of ground states in the massless Nelson model, which hold in the low
coupling regime.
