The parton branching equation is solved numerically by the O(4) Runge-Kutta method with a kinematical bound for the maximum number of partons. Using a simple hadronization model, the total-charged-multiplicity distributions of $e^{+}$$e^{\mathrm{-}}$ annihilation and pp¯ collision are explained. In the case of $e^{+}$$e^{\mathrm{-}}$ annihilation, it is found that a kinematical bound for the maximum number of partons plays an essential role in making a multiplicity distribution narrow.

• Received 7 April 1989

DOI:https://doi.org/10.1103/PhysRevD.40.1430