HADRON MULTIPLICITY AS THE LIMIT OF JET MULTIPLICITY AT HIGH-RESOLUTION

Recently exact numerical results from the evolution equation for parto n multiplicities in QCD jets have been obtained. A comparison with var ious approximate results is presented. A good description is obtained not only of the jet multiplicities measured at LEP-1 but also of the h adron multiplicities for ems energies above 1.6 GeV in e(+)e(-) annihi lation. The solution suggests that a final state hadron can be represe nted by a jet in the limit of small (nonperturbative) k(perpendicular to) cut-off Q(0). In this description using as adjustable parameters o nly the QCD scale Lambda and the cut-off Q(0), the coupling alpha(s) c an be seen to rise towards large values above unity at low energies.