Regge cuts and crossing-symmetry in the absorption model approximations for particles with spin

The problem is discussed of the crossing-symmetry violation when calculating Regge cuts in the absorption model approximation for the reactions in which the spin effects play an important role. It is shown that for the reactions possessing any exact internal symmetry one can theoretically obtain the rules for calculations of the Regge cuts which do not contain the crossing symmetry difficulties which arise when specific intemediate states are taking into account