Abstract
The account of the dynamical correlations of quarks composing the nucleons is necessary for relevant description of nucleon and nuclear interactions. The present work is devoted to the use of the technique of known integral sum rules for the cross-sections and amplitude of the photo-hadron processes. In particular, a kind of the visual representation and quantification of the valence quark correlation characteristics referring to the photo-excitation of the nucleon resonances can be presented.
Highlights
The account of the dynamical correlations of quarks composing the nucleons is necessary for relevant description of nucleon and nuclear interactions
Σn(E1) = dω ωn σE1(ω), thr where: n = −2 refers to Kramers-Heisenberg sum rule (SR) for static electric-dipole polarizability of a given quantum system; n = −1 is the bremsstrahlung-weighted SR, depending of charged “parton” correlation in a given system; n = 0 is the famous Thomas-Reiche-Kuhn SR, known as a precursor of the Quantum Mechanics itself, we should accept the picture of the transverse quark current densities of the fast moving nucleons
We return to the application of the current algebra technique in the infinite momentum frame used previously in the derivation of the Cabibbo–Radicati [2] sum rule and in the derivation of the earlier known from the dispersion theory [3,4,5] and current algebra [6] sum rules for the anomalous magnetic moments of the nucleon
Summary
The account of the dynamical correlations of quarks composing the nucleons is necessary for relevant description of nucleon and nuclear interactions. Σn(E1) = dω ωn σE1(ω), thr where: n = −2 refers to Kramers-Heisenberg sum rule (SR) for static electric-dipole polarizability of a given quantum system; n = −1 is the bremsstrahlung-weighted SR, depending of charged “parton” correlation in a given system; n = 0 is the famous Thomas-Reiche-Kuhn SR, known as a precursor of the Quantum Mechanics itself, we should accept the picture of the transverse quark current densities of the fast moving nucleons.
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