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BRODSKY 1973

Brodsky, S.; Farrar, G.R.;
Scaling Laws at Large Transverse Momentum
Phys. Rev. Lett. 31 (1973) 1153;

Abstracts
The application of simple dimensional counting to bound states of pointlike particles enables us to derive scaling laws for the asymptotic energy dependence of electromagnetic and hadronic scattering at fixed c.m. angle which only depend on the number of constituent fields of the hadrons. Assuming quark constituents, some of the s → infty, fixed-t/s predictions are (dσ/dt)_{π p → π p} ~ s^-8, (dσ/dt)_{pp → pp} ~ s^-10, (dσ/dt)_{γ p → π p} ~ s^-7, (dσ/dt)_{γ p → γ p} ~ s^-6, F_π(q²) ~ (q²)^-1, and F_1p(q²) ~ (q²)^-2. We show that such scaling laws are characteristic of renormalizable field theories satisfying certain conditions.

Related references
More (earlier) information appears in
V. Matveev, R. Muradyan, and A. Tavkhelidze, preprint JINR-D2-7110 (Dubna 1973);
See also
S. D. Drell and T. D. Lee, Phys. Rev. D5 (1972) 1738;
R. L. Anderson et al., Phys. Rev. Lett. 30 (1973) 627;
R. Blankenbeckler, S. Brodsky, and J. Gunion, Phys. Lett. 39B (1972) 649;
R. Blankenbeckler, S. Brodsky, and J. Gunion, Phys. Rev. D8 (1973) 187;
R. Blankenbeckler, S. Brodsky, and J. Gunion, Phys. Rev. D6 (1972) 2652;
R. Blankenbeckler, S. Brodsky, and J. Gunion, Phys. Lett. 42B (1972) 461;
S. Brodsky, F. Close, and J. Gunion, Phys. Rev. D6 (1972) 177;
P. Kirk et al., Phys. Rev. D8 (1973) 63;
E. Bloom and F. Gilman, Phys. Rev. Lett. 25 (1970) 1140;
J. D. Bjorken and J. B. Kogut, Phys. Rev. D8 (1973) 1341;
P. V. Landshoff and J. C. Polkinghorne, Phys. Rev. D8 (1973) 927;
S. Berman, J. D. Bjorken, and J. B. Kogut, Phys. Rev. D4 (1971) 3388;
S. Berman and M. Jacob, Phys. Rev. Lett. 25 (1970) 1683;
D. Horn and M. Moshe, Nucl. Phys. 48B (1972) 557;
S. Mandelstam, Proc. Roy. Soc. A233 (1953) 248;