Resonance Reactions and Anomalous Scattering

摘要: The purpose of the present paper is to give a derivation resonance formula for nuclear reactions which free from artificial assumptions. Mathematically, method used amounts Taylor series development wave function with respect energy. It assumed that first (energy independent) term in this is, within region configuration space where all particles are close together, same, no matter way compound state formed and space, already good approximation. second energy difference can then be calculated very easily calculation carried out Section II scattering, Sections III IV reactions. both calculations colliding have zero orbital angular momentum around their center mass. third same expansion estimated scattering VI it shown that, if there were other resonances neighborhood, effect would negligible over wide range (several hundred kilovolt). formulae cross sections, as obtained, greater generality than customary ones inasmuch they contain extra terms could interpreted potential reaction. existence such has been noticed by Bethe. However, discussed V, are, particularly neighborhood resonance, much smaller so one led back, practice, ordinary formulae, given, e.g., In particular, disintegration probability energy, proportional velocity reaction products separate separating vanishes. may worth while remark part collision matrix simple form rank 1. case mementum 1ℏ VII. case, power at low energies, square holds, "potential scattering" also. VII also contains an investigation validity between shows will extend neighboring resonances.