Interpretations and implications of negative binomial distributions of multiparticle productions

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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 languageEnglish
Article number094022
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume74
Issue number9
DOIs
Publication statusPublished - 2006

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Negative binomial distribution
Rate Constant
Stochastic Equations
High Energy
Directly proportional
Subspace
Interpretation
Experiment
energy

ASJC Scopus subject areas

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

Cite this

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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.",
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