Gribov, V.N.; Partial Waves with Complex Orbital Momenta and the Asymptotic Behavior of the Scattering Amplitude
Zh. Eksp. Teor. Fiz. 41 (1961) 1962;

Abstracts
It is shown that in relativistic theory the partial wave amplitudes f_{l} analytical functions of the angular momentum l. The asymptotic behavior of the scattering amplitude as a function of the transferred momentum is determined by the nearest singularities of f_{l}. An expression for the scattering amplitude at arbitrary transferred momenta is obtained in terms of f_{l} and satisfies the Mandelstam equation which relates the spectral function and the absorption terms. The
behavior of the scattering amplitude at high energies is discussed.

Related references More (earlier) information appears in V. N. Gribov, Nucl. Phys. 22 (1961) 249;
V. N. Gribov, Zh. Eksp. Teor. Fiz. 41 (1961) 667;
See also G. F. Chew and S. C. Frautschi, Phys. Rev. Lett. 5 (1960) 580;
T. Regge, Nuovo Cim. 18 (1960) 947;
M. Froissart, Phys. Rev. 123 (1961) 1053;
T. Regge, Nuovo Cim. 14 (1959) 951;

Reactions

hadron hadron 2hadron

>10 GeV (P_{lab})

cs, angp

hadron hadron X

>10 GeV (P_{lab})

cs

Record comments
Generalization of Regge asymptotics for relativistic scattering amplitudes.