Conformal symmetry plays an important role in quantum field theory and statistical physics. A nonrelativistic version of the conformal symmetry, also called Schrödinger symmetry, is approximately realized in various physical systems, including neutrons in nuclear physics and ultracold atoms. After going through some basic facts about nonrelativistic conformal field theory, we describe one concrete application of such a theory in the physics of nuclear reactions with several neutrons in the final state.