Quantum statistical distributions for the partons provide a fair description of deep inelastic scattering data at Q2 = 3 and 10 (GeV/c)2. The study of the polarized structure functions seems to suggest an alternative possible solution of the spin crisis based on the Pauli principle. In this scheme, in fact, the defects of the Gottfried sum rule and Ellis–Jaffe sum rule for proton, result strong...

We consider the differential sum rule for the effective scattering rate 1/t(v) and optical conductivity s1(v) in a dirty BCS superconductor, for arbitrary ratio of the superconducting gap D and the normal state constant damping rate 1/t . We show that if t is independent of T, the area under 1/t(v) does not change between the normal and the superconducting states, i.e., there exists an exact di...

A description of the generalized Gerasimov-Drell-Hearn sum rules for proton and neutron is suggested, using their relation to the Bjorken sum rule. The results support an earlier conjecture, that the structure function gT features a smooth Q−dependence, while the structure function g2 is changing rapidly, due to the elastic contribution to the Burkhardt-Cottingham sum rule. A possible violation...

The Lindhard-Winther (LW) equipartition sum rule shows that within the linear response theory, the stopping power of an energetic point-charge projectile in a degenerate electron gas medium, receives equal contributions from single-particle and collective excitations in the medium. In this paper we show that the LW sum rule does not necessarily hold for an extended projectile ion and for ion-cl...