Mutual Derivation Between Arbitrary Distribution Forms of Momenta and Momentum Components

  • Pei-Pin Yang
  • Qi Wang
  • Fu-Hu LiuEmail author


The mutual derivation between arbitrary distribution forms of momenta and momentum components of particles produced in an isotropic emission source are systematically studied in terms of probability theory and mathematical statistics. The distributions of rapidities and pseudorapidities are expediently studied. As an example, the classical and relativistic ideal gas models are used to show these distributions by the analytic and Monte Carlo methods. As an application, the experimental rapidity and transverse momentum spectra of light flavor particles produced in high energy collisions are analyzed by a multi-component relativistic ideal gas model in which the single model can be replaced by other models and distributions.


Distribution of momenta Distribution of momentum components Mutual derivation 



This work was supported by the National Natural Science Foundation of China under Grant Nos. 11575103 and 11847311, the Shanxi Provincial Natural Science Foundation under Grant No. 201701D121005, and the Fund for Shanxi “1331 Project” Key Subjects Construction.

Compliance with Ethical Standards

Conflict of Interest

The authors declare that there are no conflicts of interest regarding the publication of this paper.


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Authors and Affiliations

  1. 1.Institute of Theoretical Physics & State Key Laboratory of Quantum Optics and Quantum Optics DevicesShanxi UniversityTaiyuanChina

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