Sum rule for the isovector magnetic moment of the nucleon

Sum rules for total cross sections of hadron photoproduction on pseudoscalar mesons

“…Considering the very high energy peripheral electron pseudoscalar meson scattering with a production of a hadronic state X moving closely to the direction of initial meson, then utilizing analytic properties of the forward Compton scattering amplitude on the same meson, for the case of small transferred momenta new CabibboRadicati [6] like sum rules, relating the corresponding meson mean squared charge radii with the convergent integral over a difference of the total hadron photoproduction cross-sections on mesons are derived. Unlike the sum rules (19), (20), (22) and (23), derived in this paper, there could be difficulties with experimental verification of the Cabibbo-Radicati sum rule due to appearance of the sum of total photoproduction cross-sections on pions with the transition always to a hadronic state with a specific isospin state and moreover, the convergence of the corresponding integral is questionable.…”

Photo-absorption sum rulesσ−1and further questions about correlations of constituents inside bound hadrons

“…Following formally to the p z → ∞ techniques derivation of the Cabibbo-Radicati [15] or GDH sum rule [16], we can obtain the relation We use the definitionŝ…”

The role of charge-symmetry invariance in the σ −1 “bremsstrahlung-weighted” photo-absorption sum rules for the non-relativistic and relativistic few-body systems

“…Following formally to the p z → ∞ techniques derivation of the Cabibbo-Radicati [6] and GDH [7], [8], [9] sum rules we can obtain the relations We use the definitionsD…”