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.

arXiv comment15 pages, 3 figures. International Journal of Theoretical Physics, accepted

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• A new description of transverse momentum spectra of identified particles produced in proton-proton collisions at high energies
• An energy independent scaling of transverse momentum spectra of direct (prompt) photons from two-body processes in high-energy proton-proton collisions
• Multi-Source Thermal Model Describing Transverse Momentum Spectra of Final-State Particles in High Energy Collisions
• Multiparticle production and initial quasi-temperature from proton induced carbon collisions at $p_{Lab}=31$ GeV/$c$
• A hybrid model for multi-particle production and multi-fragment emission in electron-nucleus collisions at the forthcoming Electron-Ion Collider