Sum rule for a difference of proton and neutron total photoproduction cross-sections

Abstract

Starting from very high energy inelastic electron-nucleon scattering with a production of a hadronic state $X$ to be moved closely to the direction of the initial nucleon, then utilizing analytic properties of parts of forward virtual Compton scattering amplitudes on proton and neutron, one obtains the relation between nucleon form factors and a difference of proton and neutron differential electroproduction cross-sections. In particular, for the case of small transferred momenta, one finally derives sum rule, relating Dirac proton mean square radius and anomalous magnetic moments of proton and neutron to the integral over a difference of the total proton and neutron photoproduction cross-sections.

LaTeX2e, 7 pages, 1 eps figure (revised version)

References in corpus (1)

• Nucleon electromagnetic structure revisited

Cited by in corpus (4)

• High energy inelastic electron hadron scattering, in peripheral kinematics. Sum rules for hadron form factors
• Sum rules for total cross-sections of hadron photoproduction on pseudoscalar mesons
• Sum rules for total cross sections of hadron photoproduction on ground state $1/2^{+}$ octet baryons
• Sum rule for photon target