Self-affine pionization in p–p collisions at LHC energy

Abstract

The two-dimensional intermittency and its self-affine nature are investigated for p–p collisions at [Formula: see text][Formula: see text]TeV in the two-dimensional anisotropic [Formula: see text] space. The UrQMD model has been employed to generate and accumulate the p–p collisions data. Our investigation is made in the framework of scaled factorial moment (SFM) method. The concept of Hurst exponent [Formula: see text] is incorporated to bring a qualitative comparison between the UrQMD generated minimum bias (MB) events and the events at a particular impact parameter [Formula: see text] fm. The variation of the fractal strength with the variation of [Formula: see text] as well as with the variation of the order of the moment [Formula: see text] has been analyzed. Also, the nonlinearity in the variation of SFM with that of [Formula: see text] has been accompanied in this paper. It is observed that the fractal strength and the intermittent type of fluctuations are found to be much stronger in the region with [Formula: see text] compared to the region with [Formula: see text] and the self-affine nature in the fluctuations increases as [Formula: see text] deviates from unity.