Interpretations and implications of negative binomial distributions of multiparticle productions

The number of particles produced in high energy experiments is approximated by a negative binomial distribution. Deriving a representation of the distribution from a stochastic equation, conditions for the process to satisfy the distribution are clarified. Based on them, it is proposed that multiparticle production consists of spontaneous and induced production. The rate of the induced production is proportional to the number of existing particles. The ratio of the two production rates remains constant during the process. The "NBD space" is also defined where the number of particles produced in its subspaces follows negative binomial distributions with different parameters.