Abstract:
On the basis of the analytic properties of the inelastic process amplitude and the unitarity
condition it is shown that the differential cross section of multiparticle production dσ/dΩ for fixed θ and φ≠0,π decreases with increasing energy. An upper bound for the decrease
is established.
Citation:
V. V. Ezhela, A. A. Logunov, M. A. Mestvirishvili, “Unitary condition and decrease of the differential cross section of multiparticle production with increasing energy”, TMF, 6:1 (1971), 42–54; Theoret. and Math. Phys., 6:1 (1971), 29–38
\Bibitem{EzhLogMes71}
\by V.~V.~Ezhela, A.~A.~Logunov, M.~A.~Mestvirishvili
\paper Unitary condition and decrease of~the~differential cross section of~multiparticle production with increasing energy
\jour TMF
\yr 1971
\vol 6
\issue 1
\pages 42--54
\mathnet{http://mi.mathnet.ru/tmf3404}
\transl
\jour Theoret. and Math. Phys.
\yr 1971
\vol 6
\issue 1
\pages 29--38
\crossref{https://doi.org/10.1007/BF01037576}
Linking options:
https://www.mathnet.ru/eng/tmf3404
https://www.mathnet.ru/eng/tmf/v6/i1/p42
This publication is cited in the following 12 articles:
Jnanadeva Maharana, “On production of excited Kaluza–Klein states in large radius compactification scenario”, Int. J. Mod. Phys. A, 38:12n13 (2023)
A. A. Logunov, M. A. Mestvirishvili, G. L. Rcheulishvili, A. P. Samokhin, “Contribution from far singularities in the cosθ plane to the scattering amplitude and to the distribution function of inclusive processes”, Theoret. and Math. Phys., 43:3 (1980), 469–480
A. A. Logunov, M. A. Mestvirishvili, G. L. Rcheulishvili, A. P. Samokhin, “Singularities of the amplitude in the cosθ; plane and scattering at high energies”, Theoret. and Math. Phys., 39:2 (1979), 377–389
M. A. Mestvirishvili, G. L. Rcheulishvili, A. P. Samokhin, “Influence of singularities in the cosθ plane on the behavior of inclusive spectra at high energies”, Theoret. and Math. Phys., 41:1 (1979), 848–853
G. L. Rcheulishvili, A. P. Samokhin, “Influence of singularities of the amplitude on the behavior of the differential scattering cross section”, Theoret. and Math. Phys., 30:3 (1977), 205–212
A. A. Logunov, M. A. Mestvirishvili, G. L. Rcheulishvili, A. P. Samokhin, “Does the u channel in the t plane influence the behavior of the forward differential scattering cross section at high energies?”, Theoret. and Math. Phys., 28:2 (1976), 691–698
V. V. Ezhela, A. A. Logunov, M. A. Mestvirishvili, V. A. Petrov, “Inclusive processes at high energies”, Theoret. and Math. Phys., 15:2 (1973), 427–448
P.V. Chliapnikov, G. Ciapetti, D. Drijard, W. Dunwoodie, Y. Goldschmidt-Clermont, A. Grant, V.P. Henri, S. Nielsen, L. Pape, Z. Sekera, W. De Baere, E. De Wolf, F. Grard, P. Herquet, P. Peeters, F. Verbeure, R. Windmolders, “The behaviour in terms of angular variables of the inclusive reactions K+p → K0X++ and K+p → K0π+X+ at 5.0 and 8.2 GeV/c”, Nuclear Physics B, 48:2 (1972), 429
V. V. Ezhela, “Integral representation of expansions in Wigner functions”, Theoret. and Math. Phys., 7:1 (1971), 348–355
A. A. Logunov, M. A. Mestvirishvili, O. A. Khrustalev, “Restrictions on the behavior of elastic and inelastic cross sections at high energies. I”, Theoret. and Math. Phys., 9:1 (1971), 939–967
A. A. Logunov, M. A. Mestvirishvili, O. A. Khrustalev, “Restrictions on the behavior of elastic and inelastic cross sections at high energies. II”, Theoret. and Math. Phys., 9:2 (1971), 1043–1071
A.A. Logunov, M.A. Mestvirishvily, “Low energy theorem and scale invariance at high energies”, Physics Letters B, 37:5 (1971), 525
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