About   Contents   Introduction   Synopsis   Search   Subject Index   Summaries   Texts

BJORKEN 1969

Bjorken, J.D.;
Asymptotic Sum Rules at Infinite Momentum
Phys. Rev. 179 (1969) 1547;

Abstracts
By combining the q₀ → infty method for asymptotic sum rules with P → infty method of Fubini and Furlan, we relate the structure functions W₂ and W₁ in inelastic lepton-nucleon scattering to matrix elements of commutators of currents at almost equal times at infinite momentum. We argue that the infinite-momentum limit for these commutators does not diverge, but may vanish. If the limit is nonvanishing, we predict ν W₂(ν,q²) → f₂(ν /q²) and W₁(ν,q²) → f₁(ν /q²) as ν and q² tend to infty. Fro m similar analysis for neutrino process, we conclude that at high energies the total neutrino-nucleon cross sections rise linearly with neutrino laboratory energy until nonlocality of the weak current-current coupling sets in. The sum of ν p and anti-ν p cross sections is determined by the equal-time commutator of the Cabibbo current with its time derivative, taken between proton states at infinite momentum.

Related references
See also
J. D. Bjorken, Phys. Rev. 163 (1967) 1767;
J. M. Cornwall and R. E. Norton, Phys. Rev. 177 (1969) 2584;
C. G. Callan, and D. J. Gross, Phys. Rev. Lett. 21 (1968) 311;
T. de Forest and J. Walecka, Advances in Phys. 15 (1966) 1;
R. Brandt and J. Sucher, Phys. Rev. Lett. 20 (1968) 1131;
F. Reines et al., Can. J. Phys. 46 (1968) S350;
M. Bander and J. D. Bjorken, Phys. Rev. 174 (1968) 1704;
T. D. Lee and C. N. Yang, Phys. Rev. 126 (1962) 2239;
S. Adler, Phys. Rev. 143 (1966) 1144;
M. Menon et al., Can. J. Phys. 46 (1968) S344;
H. Harari, Phys. Rev. Lett. 17 (1963) 1303;