Physics:Quantum data analysis/Single and Two Particle Densities

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Single- and two-particle densities describe how often particles appear in regions of momentum, angle, rapidity, or other phase-space variables. A single-particle density gives the average population of one-particle states, while a two-particle density keeps information about pairs. Together they form the basis for correlation measurements and many studies of particle production.[1]

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Single- and two-particle densities represented as event-density maps.

Single-particle density

A single-particle density measures the yield per event or per collision as a function of variables such as transverse momentum, rapidity, or azimuth. It is often corrected for efficiency, acceptance, and background.[1]

Two-particle density

A two-particle density counts pairs and therefore includes correlations from decays, jets, conservation laws, collective behavior, and quantum-statistical effects. Reference samples are needed to isolate nontrivial correlations.[2]

Analysis role

These densities are building blocks for multiplicity distributions, balance functions, femtoscopy, flow analysis, and jet-correlation studies. Their definitions must specify charge, particle species, event class, and normalization.[3]

See also

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References

  1. 1.0 1.1 "Review of Particle Physics". Physical Review D 110 (3): 030001. 2024. doi:10.1103/PhysRevD.110.030001. 
  2. Cowan, Glen (1998). Statistical Data Analysis. Oxford University Press. ISBN 978-0-19-850156-5. 
  3. Lyons, Louis (1986). Statistics for Nuclear and Particle Physicists. Cambridge University Press. ISBN 978-0-521-37934-2. 
Author: Sergei V. Chekanov
Author: Claude Pruneau
Author: Harold Foppele

Source attribution: Physics:Quantum data analysis/Single and Two Particle Densities