We introduce the process of nonresonant; laser interaction with neutrons. A
sufficiently strong laser beam can couple with the magnetic dipole of neut
rons. The mean force of appropriately arranged laser beams causes specific
momentum kicks through the beat of lasers at specific spatio-temporal posit
ions. Such a kick corresponds to the neutron interaction with photons in th
e extreme low energy regime. We also: suggest a possible method to detect a
phase shift of the wave functions of neutrons of energy 3 x 10(-3) eV with
and without photon interaction by neutron interferometry, so that an effec
tive neutron measurement of the laser kick is realized. The present ultra-s
ensitive neutron measurement with lasers introduces anew probe of neutrons
in the extreme low energy regime.