A conditional probability framework derives Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac statistics plus conservation-induced covariances from saddle-point marginals, then uses orthogonal projections to isolate conservation effects in PYTHIA-simulated p+Pb events.
Global Conservation Laws and Femtoscopy of Small Systems
1 Pith paper cite this work. Polarity classification is still indexing.
abstract
It is important to understand, in detail, two-pion correlations measured in p+p and d+A collisions. In particular, one wishes to understand the femtoscopic correlations, in order to compare to similar measurements in heavy ion collisions. However, in the low-multiplicity final states of these systems, global conservation laws generate significant N-body correlations which project onto the two-pion space in non-trivial ways and complicate the femtoscopic analysis. We discuss a formalism to calculate and account for these correlations in collisions dominated by a single particle species (e.g. pions). We also discuss effects on two-particle correlations between non-identical particles, the understanding of which may be important in the study of femtoscopic space-time asymmetries.
fields
hep-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Equilibrium Statistics as Conditional Laws and Conservation-Induced Correlations
A conditional probability framework derives Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac statistics plus conservation-induced covariances from saddle-point marginals, then uses orthogonal projections to isolate conservation effects in PYTHIA-simulated p+Pb events.