Electron-positron scattering resonances from relativistic two-body wave equations

Electron-proton resonances at low energy from a relativistic two-body wave equation

Some technical methods used to solve two‐ and three‐body bound‐state equations in momentum space are described. These methods are, in particular, very efficient when applied to the calculation of spectra in semirelativistic confining potential Hamiltonians, which are used in hadron spectroscopy. They have a vast range of applicability.

Technical methods for solving bound‐state equations in momentum space

A continuum bound state (CBS) is a normalizable solution of a wave equation which is embedded in the continuum. It appears as a resonance with zero width in the scattering domain. This phenomena was first described by Wigner and von Neumann1,2 for the Schrodinger equation.

Continuum Bound States — New Phenomena Within QED

The precise meaning of the Fourier transform of ‖x‖ν is examined. A general expression is given for real positive ν. For odd ν, derivatives of principal value integrals are obtained, while even ν gives rise to derivatives of the delta function.

G. M. Welke

Papers

The Fourier transform of confining potentials