Abstract
Abstract This chapter presents the detailed derivation of the wave amplitude, probability, and cross section for neutrons scattered from a nucleus. This involves the asymptotic solution of the Schrodinger wave equation for an incident neutron plane wave scattered by a spherical nuclear potential. These neutron scatter derivations are based on the quantum mechanical or wave view of the neutron and nuclear scatter theory. The full detail of neutron scatter and the associated complex refractive index are derived and examined. Also, the Breit-Wigner neutron cross section for resonant neutron scatter and absorption is covered. The relation between the complex refractive index, complex neutron scatter length, and neutron wave phase shift upon nuclear scatter is derived. The bound and free neutron scatter lengths for nuclear scatter are covered. Finally, the neutron scatter length, which accounts for the neutron spin and the nucleus spin, is derived.
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