A Mechanism of Induction of Symmetries among the Strong Interactions

about the behaviour of the leading trajectory for small values of X or/and high values of s is that it has the form of (13) with some x0. Comparing the value of I obtained from eq. (9) and (13) we are faced with a striking difference between the behaviour of the trajectory for X + -0 and)c +O. It means that the solution of the integral eq. (4) has a singularity in X at h = 0,’ namely the bound state trajectory has a jump in X. Physically it is a sensible result, because the two cases are quite different in nature: if X + -0 then the diagrams corresponding to the kernel contain a ghost state singularity in contrast to the case h -+ +O. If we compare the behaviour of the trajectory given by eq. (13) with trajectories given by a Yukawa potential 5) or by a gcp 3 type theory l) it may be seen that our trajectory has a much weaker dependence on s. It is possible, that it can explain the experimental situation in elastic scattering, where the observed limit for the shrinkage of the diffractional peak is much smaller than the value predicted by the aforementioned theories 1,5). Finally we remark the following: we substituted the simple one bubble kernel of ref. 2, by a more involved kernel which contains them and we obtained that the asymptotic behaviour of the amplitude in the crossed channel is determined by one leading Regge pole, unlike the result in LETTERS 15 April 1964