Chronology of Milestone Events in Particle Physics - AMATI 1962
Chronology of Milestone Events in Particle Physics

AMATI 1962

Amati, D.; Stanghelini, A.; Fubini, S.;
Theory of High Energy Scattering and Multiple Production
Nuovo Cim. 24 (1962) 896;

In this paper we propose a theoretical model for high-energy interaction, the basic idea of which is that the high-energy processes are reducible to low energy ones, through a peripheral mechanism. The asymptotic properties of this model are studied by means of a linear homogeneous integral equation, whose kernel depends on the low-energy amplitudes. It is shown that many general predictions can be derived which are independent of the detailed form of the low-energy input. The results refer both to high energy elastic scattering and multiple production. For the inelastic processes we obtained simple general predictions for measurable quantities such as multiplicities, inelasticity, and spectra of secondaries. For the elastic scattering we find the characteristic Regge pole behaviour for all scattering amplitudes. The relation between the bound state problem and diffraction can therefore be understood in a relativistic model which contains in itself both phenomena. We finally discuss the possible correction of the model by using approximately the unitarity condition and we find indications of the possible existence of continuous power distribution, or equivalently of cuts in the complex angular momentum variable.

Related references
See also
S. Drell, Rev. of Mod. Phys. 33 (1961) 458;
W. D. B. Greenberg and F. Low, Phys. Rev. 124 (1961) 2047;
I. M. Dremin and D. S. Chernyavski, Zh. Eksp. Teor. Fiz. 40 (1961) 1333;
D. Amati, S. Fubini, A. Stanghellini, and M. Tonin, Nuovo Cim. 22 (1961) 569;
D. Amati et al., Phys. Lett. 1 (1962) 29;
V. B. Berestetski and Y. Pomeranchuk, Nucl. Phys. 22 (1961) 629;
T. Regge, Nuovo Cim. 14 (1959) 951;
T. Regge, Nuovo Cim. 18 (1960) 947;
G. F. Chew and F. Low, Phys. Rev. 113 (1959) 1640;
C. J. Goebel, Phys. Rev. Lett. 1 (1958) 337;
S. Drell, Phys. Rev. Lett. 5 (1960) 342;
F. Salzman and G. Salzman, Phys. Rev. Lett. 5 (1960) 377;
E. Ferrari and F. Selleri, Phys. Rev. Lett. 7 (1961) 387;
S. Drell and K. Hiida, Phys. Rev. Lett. 7 (1961) 199;
D. H. Perkins, Progr. in Elem. Part. and Cosmic Ray Phys. 5 (1960) 328;
L. Bertocchi, S. Fubini, and M. Tonin, Nuovo Cim. 24 (1962) 626;
E. Predazzi and T. Regge, Nuovo Cim. 24 (1962) 518;
G. C. Wick, Phys. Rev. 96 (1954) 1124;
R. E. Cutkowski, Phys. Rev. 96 (1954) 1135;
M. Gell-Mann, Phys. Rev. Lett. 8 (1962) 263;
I. Y. Pomeranchuk, Zh. Eksp. Teor. Fiz. 34 (1958) 725;
I. Y. Pomeranchuk, JETP 7 (1958) 499;
G. F. Chew, M. Goldberger, F. Low, and Y. Nambu, Phys. Rev. 106 (1957) 1337;
M. Froissart, Phys. Rev. 123 (1961) 1053;
E. Ferrari and F. Selleri, Nuovo Cim. Suppl. 24 (1962) 453;

  hadron hadron X
  hadron hadron hadron X
  hadron hadron 2hadron >10 GeV (Plab) p, cs, angp

Record comments
Invention of the multiperipheral model to analyze a few and many body hadronic reactions. Demonstration that multiperipheral model is capable to predict qualitatively the general features of elastic scattering, inelastic particles spectra, and topological cross sections.
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