Engineering topics
Publications and source records attributed to Mickens, R. E..
Mathematical analysis and dispersion relations are used to obtain the general functional form of the neutrino charge form-factor. It is shown that if the scale for weak interactions is given by G, where G is the Fermi coupling constant, then for a large range of momentum transfer values, the form-factor may be approximated by a function that is linear in the square of the momentum transfer.
The paper presents a model of high-energy hadron-hadron scattering where each hadron is a fully absorbing scatterer with a radius that increases with energy. The energy dependence of the radius is chosen such that the total cross section has the energy behavior of the Froissart bound (which means that the cross sections are rising to infinity). The model is used to obtain amplitudes for pion-nucleon scattering.
Asymptotic bounds on the total cross sections of neutrino (weak) scattering processes are obtained. It is shown that the elastic neutrino-neutrino cross section obeys the following bound in the high energy region: sigma sub T (S) equals ImF(S,0)/S is less than or equal to const. (LogS) squared. Assumptions of analyticity, crossing, unitarity, polynomial boundaries, and a zero-condition on the absorptive part of the scattering amplitude, are used to obtain this bound.