Radial-flow fluctuations in the geometrical-scaling framework

Abstract

We discuss radial-flow fluctuations using the $p_{\rm T}$-differential measure \(v_0(p_{\rm T})\), together with its $p_{\rm T}$-integrated counterpart \(v_0\), within the framework of geometrical scaling (GS), where the saturation momentum scale provides the characteristic scale for particle production. We show that the GS framework leads to results similar to those obtained from the momentum-rescaling model proposed by Jiangyong Jia. In the GS picture, event-by-event spectral fluctuations are governed by fluctuations of the saturation momentum scale; consequently, the single-mode ansatz introduced in Jia's model emerges naturally. We also show that the GS picture suggests a possible connection between transverse-momentum correlations and fluctuations of the emission region, which may be probed through Hanbury Brown and Twiss (HBT) analyses. Using the string percolation model, which is closely related to GS, we estimate the multiplicity dependence of radial-flow fluctuations and propose the scaled quantity $A_0(N_{Δy}) \equiv v_0^2 N_{Δy}$, with $N_{Δy}=(dN/dy)Δy$, as a diagnostic observable for testing the role of effective flux-tube fluctuations.