Phenomenological Relationship between the Ridge and Inclusive Distributions

TL;DR

This paper proposes and verifies a relationship between ridge and inclusive distributions in high-energy collisions, suggesting the absence of long-range longitudinal correlations and offering a phenomenological interpretation.

Contribution

It introduces a new phenomenological relationship between ridge and inclusive distributions and verifies it with experimental data, challenging the assumption of long-range correlations.

Findings

The proposed relationship is consistent with PHOBOS data.

No evidence of long-range longitudinal correlation is found.

A phenomenological interpretation supporting this is developed.

Abstract

A relationship between the ridge distribution in $\Delta\eta$ and the single-particle distribution in $\eta$ is proposed. It is then verified by use of the data from PHOBOS on both distributions. The implication seems to point to the possibility that there is no long-range longitudinal correlation. An interpretation of the phenomenological observation along that possibility is developed.