mT scaling approach to study the identical spectral shape and similar suppression patterns of π0 and η mesons at RHIC and LHC energies

Abstract

We present a systematic study of the transverse mass ([Formula: see text]) spectra of [Formula: see text] and [Formula: see text] mesons in [Formula: see text] collisions at [Formula: see text][Formula: see text]GeV, [Formula: see text] collisions at [Formula: see text][Formula: see text]GeV, [Formula: see text] collisions at [Formula: see text][Formula: see text]TeV and [Formula: see text] collisions at [Formula: see text][Formula: see text]TeV. The published data of invariant yields of [Formula: see text] and [Formula: see text] mesons as a function of [Formula: see text] are taken from PHENIX and from ALICE collaborations in the mid-rapidity region for different centrality cases. The primary object is to check the similar suppression patterns and identical spectral shapes of [Formula: see text] and [Formula: see text] mesons at different center-of-mass energies in different collision systems. We employ [Formula: see text] scaling approach to study the spectral shapes of [Formula: see text] meson from the given pion ([Formula: see text]) spectra. For this purpose, we use the modified Hagedorn function as a fit function. We obtain [Formula: see text] scaled [Formula: see text] ratio to study the spectral shape and suppression pattern of [Formula: see text] and [Formula: see text] mesons. This ratio is useful to obtain the decay contribution of [Formula: see text] and [Formula: see text] mesons in photonic and leptonic channels but also points to the quantitative changes in the dynamics of the heavy ion collisions.