A class of group-theoretical solutions of the general conspiracy problem

Аналитичность, Факторизация И Симметрия Лоренца

“…Following the above assumptions, it is possible to define a quantum number M which has been found to be the TOLLER quantum number, and to classify the Regge poles in families with well-defined quantum numb'ers. This classifieation is, in some sense, equivalent to the group theoretical one; moreover, the t = 0 behavior of the factorized Regge pole residue functions, satisfying all the kinematical eonstraints, is the same as that derived in [8] and [9] by the group theoretical methods. It is possible then to reconstruct the scattering amplitude at t = 0 for the process N + N --, N + N due to the exchange of a Regge pole family with a defined value of M and to show the complete equivalence between the group-theoretical and the analytic approach at t = 0 in the equal mass configuration.…”

“…The most general work in this direetion has been done by Cosvr~ZA, SCIARRINO, and TOLI~En [8,9] by a generalization of the Lorentz group formalista and the introduction of quite strong assumptions.…”