Limiting fragmentation in a thermal model with flow

Swatantra Kumar Tiwari; Raghunath Sahoo

doi:10.1140/epja/i2016-16365-9

EPJ

Limiting fragmentation in a thermal model with flow

Swatantra Kumar Tiwari and Raghunath Sahoo^*

Discipline of Physics, School of Basic Sciences, Indian Institute of Technology Indore, Khandwa Road, M.P.-453552, Simrol, Indore, India

Received: 20 September 2016
Accepted: 24 November 2016
Published online: 22 December 2016

Abstract

The property of limiting fragmentation of various observables such as rapidity distributions (dN/dy), elliptic flow (v₂), average transverse momentum ( $\langle p_{T}\rangle$ ) etc. of charged particles is observed when they are plotted as a function of rapidity (y) shifted by the beam rapidity ( $y_{beam}$ ) for a wide range of energies from AGS to RHIC. Limiting fragmentation (LF) is a well-studied phenomenon as observed in various collision energies and colliding systems experimentally. It is very interesting to verify this phenomenon theoretically. We study such a phenomenon for pion rapidity spectra using our hydrodynamic-like model where the collective flow is incorporated in a thermal model in the longitudinal direction. Our findings advocate the observation of extended longitudinal scaling in the rapidity spectra of pions from AGS to lower RHIC energies, while it is observed to be violated at top RHIC and LHC energies. Prediction of LF hypothesis for Pb+Pb collisions at $\sqrt{s_{NN}}=5.02$ TeV is given.

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EPJ

Limiting fragmentation in a thermal model with flow

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