### Abstract

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.

Original language | English |
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Article number | 094022 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 74 |

Issue number | 9 |

DOIs | |

Publication status | Published - 2006 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Mathematical Physics

### Cite this

**Interpretations and implications of negative binomial distributions of multiparticle productions.** / Arisawa, Tetsuo.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Interpretations and implications of negative binomial distributions of multiparticle productions

AU - Arisawa, Tetsuo

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33751173861&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33751173861&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.74.094022

DO - 10.1103/PhysRevD.74.094022

M3 - Article

AN - SCOPUS:33751173861

VL - 74

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 9

M1 - 094022

ER -