Transverse momentum distribution of charged hadrons based on wounded quark model

In nucleus-nucleus collisions, new particles are produced mainly through strong interactions among the constituents of the QCD medium. The search of a unified phenomenological model to understand this production mechanism is one of the main motivation behind the heavy ion experiments. A vast variety of data coming from nucleus-nucleus collision experiments put a stringent constraint on the particle production models. A unified and proper model must satisfy the various data regarding pseudorapidity distributions, transverse energy density distributions, transverse momentum distributions with respect to control parameters in different types of collisions at various energies simultaneously. Recently we proposed a new version of wounded quark model (WQM) which actually satisfies many points of this criteria. However, these kind of static initial model conditions have problem in calculating the transverse momentum distributions of charged hadrons. In this article, we have used the important ingredients of WQM like number of wounded quarks and number of quark-quark collisions to fit the transverse momentum spectra of charged hadrons. Based on the assumption of different mechanisms at different regions, i.e. different mechanisms for soft \( p_{T}\) and hard momentum part, we have proposed a parameterization made of two functions to calculate the transverse momentum spectra in different collisions at different energies ranging from higher RHIC to LHC. We hope that this study along with our recent work on WQM will become a more suitable choice as unified model for particle production in strong interaction, instead of wounded nucleon model.