TY - JOUR

T1 - Strongly Intensive Variables and Long-Range Correlations in the Model With a Lattice in the Transverse Plane

AU - Belokurova, S. N.

AU - Vechernin, V. V.

PY - 2019/8/1

Y1 - 2019/8/1

N2 - In the framework of the quark–gluon string fusion model on the transverse lattice, we study a strongly intensive variable characterizing correlations between the number of particles produced in hadronic interactions in two observation windows separated by a rapidity interval. We show that in the case of independent identical strings, this variable is indeed strongly intensive. It depends only on string characteristics and is independent of trivial so-called volume fluctuations in the string number resulting, in particular, from inevitable impact parameter fluctuations. With string fusion effects causing the production of string clusters with new properties taken into account, this variable turns out to be equal to the weighted average of its values for different string clusters. The weighting coefficients depend on the collision conditions, and the variable loses its strongly intensive character. In the framework of this model in a realistic case with a nonuniform string distribution in the transverse plane, we find explicit analytic formulas for the asymptotic coefficients of long-range correlations between different quantities including an intensive one, the average transverse momentum. We analyze the properties of the obtained correlation coefficients, the studied strongly intensive variable, and also the possibilities of its experimental observation.

AB - In the framework of the quark–gluon string fusion model on the transverse lattice, we study a strongly intensive variable characterizing correlations between the number of particles produced in hadronic interactions in two observation windows separated by a rapidity interval. We show that in the case of independent identical strings, this variable is indeed strongly intensive. It depends only on string characteristics and is independent of trivial so-called volume fluctuations in the string number resulting, in particular, from inevitable impact parameter fluctuations. With string fusion effects causing the production of string clusters with new properties taken into account, this variable turns out to be equal to the weighted average of its values for different string clusters. The weighting coefficients depend on the collision conditions, and the variable loses its strongly intensive character. In the framework of this model in a realistic case with a nonuniform string distribution in the transverse plane, we find explicit analytic formulas for the asymptotic coefficients of long-range correlations between different quantities including an intensive one, the average transverse momentum. We analyze the properties of the obtained correlation coefficients, the studied strongly intensive variable, and also the possibilities of its experimental observation.

KW - correlation

KW - fluctuation

KW - hadronic interaction

KW - high energy

KW - multiparticle production

KW - quark–gluon string

KW - strongly intensive variable

KW - transverse momentum

KW - STRINGS

KW - MECHANISM

KW - MOMENTUM

KW - FIELD

KW - QUARK

KW - MULTIPLICITIES

KW - COLLISIONS

KW - quark-gluon string

KW - PAIR PRODUCTION

KW - GAUGE

UR - http://www.scopus.com/inward/record.url?scp=85071746248&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/strongly-intensive-variables-longrange-correlations-model-lattice-transverse-plane

U2 - 10.1134/S0040577919080026

DO - 10.1134/S0040577919080026

M3 - Article

AN - SCOPUS:85071746248

VL - 200

SP - 1094

EP - 1109

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 2

ER -