TY - JOUR

T1 - Long-range correlations between observables in a model with translational invariance in rapidity

AU - Belokurova, Svetlana

AU - Vechernin, Vladimir

N1 - Publisher Copyright: © 2020 by the authors.

PY - 2020/7

Y1 - 2020/7

N2 - We estimate the impact of the fixation of the total number of sources (quark-gluon strings) on the long-range rapidity correlations between different observables. In our approach this condition models the fixation of the collision centrality class, what is the usual practice in modern collider experiments, like Relativistic Heavy Ion Collider (RHIC), Large Hadron Collider (LHC) and so on. The estimates are obtained under the assumption of the translational invariance in rapidity, which is usually assumed in mid-rapidity region at high energies. Based on these assumptions, we are developing a technique for the analytical calculation of various average values of extensive and intense variables at high string densities on the transverse lattice, taking into account the effects of string fusion, leading to the formation of string clusters. Using this technique we calculate the asymptotes of the correlations coefficients both between the multiplicities and between the multiplicity and the event-mean transverse momentum of particles in two separated rapidity intervals. As a result, we found that fixing the total number of strings has a significant effect on the behavior of both types of correlations, especially in the case of a uniform distribution of strings in the transverse plane.

AB - We estimate the impact of the fixation of the total number of sources (quark-gluon strings) on the long-range rapidity correlations between different observables. In our approach this condition models the fixation of the collision centrality class, what is the usual practice in modern collider experiments, like Relativistic Heavy Ion Collider (RHIC), Large Hadron Collider (LHC) and so on. The estimates are obtained under the assumption of the translational invariance in rapidity, which is usually assumed in mid-rapidity region at high energies. Based on these assumptions, we are developing a technique for the analytical calculation of various average values of extensive and intense variables at high string densities on the transverse lattice, taking into account the effects of string fusion, leading to the formation of string clusters. Using this technique we calculate the asymptotes of the correlations coefficients both between the multiplicities and between the multiplicity and the event-mean transverse momentum of particles in two separated rapidity intervals. As a result, we found that fixing the total number of strings has a significant effect on the behavior of both types of correlations, especially in the case of a uniform distribution of strings in the transverse plane.

KW - Forward-backward correlations

KW - High energy

KW - Long-range rapidity correlations

KW - Multiparticle production

KW - Multiplicity

KW - Quark-gluon strings

KW - String fusion

KW - Strong interaction

KW - Translation invariance in rapidity

KW - Transverse momentum

KW - multiplicity

KW - transverse momentum

KW - forward-backward correlations

KW - multiparticle production

KW - quark-gluon strings

KW - COLLISIONS

KW - MULTIPLICITIES

KW - translation invariance in rapidity

KW - long-range rapidity correlations

KW - STRING FUSION

KW - FORWARD-BACKWARD CORRELATIONS

KW - RIDGE

KW - high energy

KW - TRANSVERSE-MOMENTUM

KW - DISTRIBUTIONS

KW - strong interaction

KW - CHARGED-PARTICLES

KW - string fusion

UR - http://www.scopus.com/inward/record.url?scp=85088556630&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/3d74a3a4-2030-3a0a-bcd9-a86cbcb48fa3/

U2 - 10.3390/sym12071107

DO - 10.3390/sym12071107

M3 - Article

AN - SCOPUS:85088556630

VL - 12

JO - Symmetry

JF - Symmetry

SN - 2073-8994

IS - 7

M1 - 1107

ER -