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

Infraparticle states in the massless Nelson model -- revisited