Proton-tetraneutron elastic scattering

Phenomenological analysis connecting proton-proton and antiproton-proton elastic scattering

Based on the behavior of the elastic scattering data, we introduce an almost model-independent parametrization for the imaginary part of the scattering amplitude, with the energy and momentum transfer dependences inferred on empirical basis and selected by rigorous theorems and bounds from axiomatic quantum field theory. The corresponding real part is analytically evaluated by means of dispersi...

Slope Analysis for Elastic Proton-proton and Proton-antiproton Scattering

The diffraction slope parameter is investigated for elastic proton-proton and protonantiproton scattering based on the all available experimental data at intermediate square of momentum transfer in the main. Energy dependence of the elastic diffraction slope is approximated by various analytic functions in a model-independent fashion. The expanded standard logarithmic approximations allow to de...

Unusual nature of positronium-proton elastic scattering.

The Lippmann-Schwinger equation for positronium-proton elastic scattering lacks a first-order term because the center of mass and center of charge are coincident. A consequence of this is that the high-energy behavior of the phase shift is governed by the second-Born approximation. Asymptotic analysis indicates that the high-energy form of the phase shift is dL;O(1/k ), where k is the incident ...

Is THERE ANY “ SCALING ” IN ELASTIC PROTON - PROTON SCATTERING ?

Bounds in proton-proton elastic scattering at low momentum transfer

We present a bound on the imaginary part of the single helicity-flip amplitude for spin 1/2-spin 1/2 scattering at small momentum transfer. The variational method of Lagrange multipliers is employed to optimize the single-flip amplitude using the values of σtot, σel and diffraction slope as equality constraints in addition to the inequality constraints resulting from unitarity. Such bounds prov...