Regge Poles in Neutron Scattering by a Cylinder
A.Y. Voronin (P.N. Lebedev Physical Institute, 53 Leninsky Prospekt, Moscow 119991, Russia); K.V. Protasov (Laboratoire de Physique Subatomique et de Cosmologie (LPSC), Université Grenoble Alpes, IN2P3-CNRS, 53 Avenue des Martyrs, 38026 Grenoble, France)
We establish asymptotic expressions for the positions of Regge poles for cold neutron scattering on mesoscopic cylinder mirror as well as for the -matrix residuals. We outline the correspondence between Regge poles and near-surface quasi-stationary neutron states. Such states are of practical importance for studying subtle effects of neutron-surface interaction.