Mutual derivation between arbitrary distribution forms of momenta and momentum components

Abstract

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.

15 pages, 3 figures. International Journal of Theoretical Physics, accepted

References in corpus (1)

• Relating multihadron production in hadronic and nuclear collisions

Cited by in corpus (3)

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• A systematic analysis of transverse momentum spectra of $J/\psi$ mesons in high energy collisions
• An energy independent scaling of transverse momentum spectra of direct (prompt) photons from two-body processes in high-energy proton-proton collisions