# Two-particle 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 two-particle 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; BARYON-BARYON INTERACTIONS; COLLISIONS; COMPUTERIZED SIMULATION; CORRELATION FUNCTIONS; DEUTERONS; MONTE CARLO METHOD; MULTIPLICITY; PARTICLE RAPIDITY; ROTATIONAL STATES; STRING MODELS; TWO-BODY PROBLEM

### Citation Formats

```
Vechernin, V. V., E-mail: v.vechernin@spbu.ru, Ivanov, K. O., and Neverov, D. I.
```*Two-particle correlation function and dihadron correlation approach*. United States: N. p., 2016.
Web. doi:10.1134/S1063778816050161.

```
Vechernin, V. V., E-mail: v.vechernin@spbu.ru, Ivanov, K. O., & Neverov, D. I.
```*Two-particle correlation function and dihadron correlation approach*. United States. doi:10.1134/S1063778816050161.

```
Vechernin, V. V., E-mail: v.vechernin@spbu.ru, Ivanov, K. O., and Neverov, D. I. Thu .
"Two-particle correlation function and dihadron correlation approach". United States.
doi:10.1134/S1063778816050161.
```

```
@article{osti_22612610,
```

title = {Two-particle correlation function and dihadron correlation approach},

author = {Vechernin, V. V., E-mail: 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 two-particle 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}

}