Description of the inclusive production of mesons by a quark cascade model

We present an analytical model to describe the inclusive meson production in e(+)e(-) reactions based on a quark cascade approach(1) whose formulation is put in terms of diffusion equations for three quack flavors (u, d, s). In the present approach, we consider only the simplest case in which e(+)e(-) are annihilated, resulting in a quark-antiquark pair that generates quark cascades by the sucessive emission of mesons.