Summary liThe Landau-Milelchin hydrodynamic model of very high energy I 1 nucleon i n t e r a c t i o n s i s extended t o c a l c u l a t e t h e pion energy and angle d i s t r i b u t i o n s i n t h e center of mass system (CMS) and
of t h e nucleonic f l u i d s leads t o t r u n c a t i o n of t h e pion d i s t r i b ul a b o r a t o r y frames. on t h e average energy of t h e pions produced i n t h e decomposition
Consideration of t h e physical l i m i t a t i o n s t i o n and a r a t h e r slow energy dependence of t h e average CMS pionI energy on t h e i n c i d e n t proton energy. dence i s chosen f o r i n c i d e n t primary cosmic r a y protons, t h e pion production spectrum found in t h e l a b o r a t o r y frame has a steeper energy spectrum than those found using s i m p l e r models of nucleon i n t e r a c t i o n s .