A GENERALISED VENEZIANO MODEL FOR N-POINT FUNCTION

A prescription is proposed for the explicit construction of a Veneziano-type formula for the N-point function where the external lines may have any (integral) spins. The resultant amplitude is expected to have the following properties: (i) analyticity, (ii) crossing symmetry, (iii) Dolen-Horn-Schmid duality, (iv) resonance poles on linear rising trajectories, (v) Regge asymptotic behaviour in all Mandelstam channels. In addition, the model (vi) gives the decay correlations for particles with spin, (vii) treats all particles consistently as bound states of one another. So far the prescription has only been verified explicitly for N = 4, 5, 6 and 7, but it is believed to be of general validity. If taken seriously, it could provide the basis for a new phenomenology for virtually all hadronic processes. The explicit form for the 6-point function is given also as an example. © 1969.