The collective quark tube model (a new version of the big hadron model reformulated in terms of the constituent quark picture) is applied to nucleus-nucleus collisions at high energies. Production of hadrons is described by regarding a nucleus-nucleus collision as an incoherent sum of simultaneous quark tube-quark tube collisions. The mean tube size, the mean number of simultaneous quark tube-quark tube collisions and the absorption rate of quarks are evaluated by using a one-dimensional model. The calculated mean shower particle multiplicities are in good agreement with cosmic ray data.A general formalism for the central component of the mean shower particle multiplicities is given in § 2. The mean number of simultaneous q,-q, collisions and the mean size of the quark tubes are calculated in § 3. A contribution to shower particles from nuclear fragments is estimated in § 4_ Numerical results are presented and compared with data in § 5. Cone! uding remarks are given in § 6_ § 2. General formalism Consider central nucleus (JlP) -nucleus (A,) collisions at sufficiently high ener-by guest on April 10, 2015 http://ptp.oxfordjournals.org/ Downloaded from * 1 It may be worth while noting that the result of Table II gives the average over the 15 events of n, (observed) /n, (calculated) = 1. 035 and that of jn, (observed) -n, (calculated) 1/n, (calculated) =D=O. 238. The value of D is quite reasonable if the n,-distribution in central nucleusnucleus collisions obeys an approximate KNO scaling. by guest on April 10, 2015 http://ptp.oxfordjournals.org/ Downloaded from