DEEP INELASTIC ELECTRON-PROTON SCATTERING (Ⅱ)
CAO CHANG-QI, QIN DAN-HUA, 北京大学物理系 · Acta Physica Sinica · 1976
Dyson representation is applied to find out whether the scaling property can be derived without reliance on the knocked-out mechanism. It is shown that, provided the spectral function in the Dyson represention of the matrix element of the current operators commutator has the proper behavior for large m2, the scaling property then follows for large v. No restriction whatever is required for q2, which may be very small even approaching zero. This characteristic seems to be consistent with the experiments. Furthermore, for a given v, the structure tensor Wμv is only determined by the spectral function inside the region m2≤Mpv, with no dependence on the true asymptotic behavior at m2→∞. Therefore the present observed scaling may only be a phenomena within a certain range. As v becomes still larger, the situation will probably change qualitatively.