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MATVEEV 1973

Matveev, V.A.; Muradyan, R.M.; Tavkhelidze, A.N.;
Automodelism in the Large-Angle Elastic Scattering and Structure of Hadrons
Lett. Nuovo Cim. 7 (1973) 719;

Abstracts
In this paper we should like to point to the possibility of revealing a local or pointlike structure of hadrons in pure hadronic reactions of elastic scattering at large momentum transfers. In the framework of the quark model by using the principle of automodelism it is shown that in the limit - t, s → infty at t/s fixed the automodel asymptotic relations for the differential cross-sections of elastic hadron-hadron and electron-hadron reactions of Table I hold.
In the general case of two-particle collisions the differential cross-section of large-angle scattering has the asymptotics fracdσdt(ab→ab) s → infty atop to 40ptrightarrowfill atop t/s fixed 1 / s^2(n_a+n_b-1)f_ab(t/s). (1)

center Table I.

tabular |l|c| hline Reaction a b → a b & dσ/dt cr hline hline p p → p p & (1/s¹⁰)f_pp(t/s) cr hline π p → π p & (1/s⁸)f_{π p}(t/s) cr hline π π → π π & (1/s⁶)f_{π π}(t/s) cr hline e p → e p & (1/s⁶)f_ep(t/s) cr hline e π → e π & (1/s⁴)f_eπ(t/s) cr hline e e → e e & (1/s²)f_ee(t/s) cr hline tabular
center Here n_a and n_b are the numbers of constituent quarks of a and b particles, e.g. for proton n_p = 3 and for pion n_π = 2. Considering an electron as a structureless particle we should put n_e = 1 in formula (1) for reactions with electrons.
Attempts to the derivation of the power character of the asymptotic behaviour of differential cross-sections at large angles have been done in a number of recent works from the various model assumptions. (Extracted from the introductory part of the paper.).

Related references
See also
J. V. Allaby et al., Phys. Lett. 25B (1967) 156;
J. V. Allaby et al., Phys. Lett. 34B (1971) 431;
V. A. Matveev, R. M. Muradyan, and A. N. Tavkhelidze, Lett. Nuovo Cim. 5 (1972) 907;
D. Horn and M. Moshe, Nucl. Phys. 48B (1972) 557;
W. R. Theis, preprint DESY-72-35 (1972);
A. A. Migdal, Phys. Lett. 37B (1971) 98;
F. Cerulus and A. Martin, Phys. Lett. 8 (1964) 80;
A. A. Logunov and M. A. Mestvirishvili, Phys. Lett. 24B (1967) 583;
A. M. Baldin, preprint JINR-P7-5808 (Dubna 1971);
D. V. Shirkov, preprint JINR-P2-6938 (Dubna 1973);
A. V. Efremov, preprint JINR-E2-6612 (Dubna 1972);