The expe r imen t s with b e a m s of r e l a t iv i s t i c nuclei (see, for instance, the rev iew a r t i c l e s [1-3] and l i t e r a tu r e quoted there) revea l a n u m b e r of in te res t ing f ea tu res whose theore t ica l in te rpre ta t ion is of cons iderab le topical in t e res t . In the p r e s e n t paper , the dis tr ibut ion of the spec t a to r f r agmen t s is invest igated for the in te rac t ion of high ene rgy nuclei . The t r e a t m e n t is based on the many -pa r t i c l e [4] quasipotent ia t dynamics in light cone v a r i a b l e s [5]. The development of Logunov and Tavkhe l idze ' s [6] quasipotent ia l method in quantum field theory is rev iewed in [7-121 and in the l i t e r a tu re which is quoted the re . Some aspec t s of the m a n y p a r t i c l e dynamics in the f r a m e w o r k of Kadyshevsk i i ' s approach [13] can be found in [14]. The p o s s i bi l i ty of cons t ruc t ing the dynamics of quantized f ie lds on the light cone hyperplane was mentioned by Dirac [151 a l r eady in 1949. The f o u r m o m e n t a combinat ions (po+-p~, p-) c h a r a c t e r i s t i c of this t r e a t m e n t in the f r a m e work of the quasipotent ia l approach appea red in the invest igat ion of high ene rgy behav ior of the two-par t i c l e sca t t e r ing ampl i tude [16].