Twoparticle correlation function and dihadron correlation approach
Abstract
It is shown that, in the case of asymmetric nuclear interactions, the application of the traditional dihadron correlation approach to determining a twoparticle correlation function C may lead to a form distorted in relation to the canonical pair correlation function {sub C}{sup 2}. This result was obtained both by means of exact analytic calculations of correlation functions within a simple string model for proton–nucleus and deuteron–nucleus collisions and by means of Monte Carlo simulations based on employing the HIJING event generator. It is also shown that the method based on studying multiplicity correlations in two narrow observation windows separated in rapidity makes it possible to determine correctly the canonical pair correlation function C{sub 2} for all cases, including the case where the rapidity distribution of product particles is not uniform.
 Authors:
 St. Petersburg State University (Russian Federation)
 Publication Date:
 OSTI Identifier:
 22612610
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Atomic Nuclei; Journal Volume: 79; Journal Issue: 5; Other Information: Copyright (c) 2016 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 74 ATOMIC AND MOLECULAR PHYSICS; ANALYTICAL SOLUTION; ASYMMETRY; BARYONBARYON INTERACTIONS; COLLISIONS; COMPUTERIZED SIMULATION; CORRELATION FUNCTIONS; DEUTERONS; MONTE CARLO METHOD; MULTIPLICITY; PARTICLE RAPIDITY; ROTATIONAL STATES; STRING MODELS; TWOBODY PROBLEM
Citation Formats
Vechernin, V. V., Email: v.vechernin@spbu.ru, Ivanov, K. O., and Neverov, D. I. Twoparticle correlation function and dihadron correlation approach. United States: N. p., 2016.
Web. doi:10.1134/S1063778816050161.
Vechernin, V. V., Email: v.vechernin@spbu.ru, Ivanov, K. O., & Neverov, D. I. Twoparticle correlation function and dihadron correlation approach. United States. doi:10.1134/S1063778816050161.
Vechernin, V. V., Email: v.vechernin@spbu.ru, Ivanov, K. O., and Neverov, D. I. Thu .
"Twoparticle correlation function and dihadron correlation approach". United States.
doi:10.1134/S1063778816050161.
@article{osti_22612610,
title = {Twoparticle correlation function and dihadron correlation approach},
author = {Vechernin, V. V., Email: v.vechernin@spbu.ru and Ivanov, K. O. and Neverov, D. I.},
abstractNote = {It is shown that, in the case of asymmetric nuclear interactions, the application of the traditional dihadron correlation approach to determining a twoparticle correlation function C may lead to a form distorted in relation to the canonical pair correlation function {sub C}{sup 2}. This result was obtained both by means of exact analytic calculations of correlation functions within a simple string model for proton–nucleus and deuteron–nucleus collisions and by means of Monte Carlo simulations based on employing the HIJING event generator. It is also shown that the method based on studying multiplicity correlations in two narrow observation windows separated in rapidity makes it possible to determine correctly the canonical pair correlation function C{sub 2} for all cases, including the case where the rapidity distribution of product particles is not uniform.},
doi = {10.1134/S1063778816050161},
journal = {Physics of Atomic Nuclei},
number = 5,
volume = 79,
place = {United States},
year = {Thu Sep 15 00:00:00 EDT 2016},
month = {Thu Sep 15 00:00:00 EDT 2016}
}

New cross term in the twoparticle HanburyBrownTwiss correlation function in ultrarelativistic heavyion collisions
Using two specific models and a modelindependent formalism, we show that in addition to the usual quadratic ``side,`` ``out,`` and ``longitudinal`` terms, a previously neglected ``outlongitudinal`` cross term arises naturally in the exponent of the twoparticle correlator. Since its effects can be easily observed, such a term should be included in any experimental fits to correlation data. We also suggest a method of organizing correlation data using rapidity rather than longitudinal momentum differences, since in the former every relevant quantity is longitudinally boost invariant. 
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