Mutual derivation between arbitrary distribution forms of momenta and momentum components

• Published in: arXiv.org
• Main Authors: Pei-Pin, Yang, Wang, Qi, Fu-Hu, Liu
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 08.05.2019
• Subjects: Computer simulation; Derivation; Emission analysis; Ideal gas; Monte Carlo simulation; Physics - Classical Physics; Physics - Data Analysis, Statistics and Probability; Physics - High Energy Physics - Experiment; Physics - Nuclear Experiment; Physics - Nuclear Theory; Probability theory; Relativism; Relativistic effects; Transverse momentum
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.1905.03078

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.