Radial Flow and Differential Freeze-out in Proton-Proton Collisions at $sqrt{s}= 7$ TeV at the LHC

We analyse the transverse momentum ($p_{rm T}$)-spectra as a function of charged-particle multiplicity at midrapidity ($|y| < 0.5$) for various identified particles such as $pi^{pm}$, $K^{pm}$, $K_S^0$, $p+overline{p}$, $phi$, $K^{*0} + overline {K^{*0}}$, and $Lambda$ + $bar{Lambda}$ in proton-proton collisions at $sqrt{s}$ = 7 TeV using Boltzmann-Gibbs Blast Wave (BGBW) model and thermodynamically consistent Tsallis distribution function. We obtain the multiplicity dependent kinetic freeze-out temperature ($T_{rm kin}$) and radial flow ($beta$) of various particles after fitting the $p_{rm T}$-distribution with BGBW model. Here, $T_{rm kin}$ exhibits mild dependence on multiplicity class while $beta$ shows almost independent behaviour. The information regarding Tsallis temperature and the non-extensivity parameter ($q$) are drawn by fitting the $p_{rm T}$-spectra with Tsallis distribution function. The extracted parameters of these particles are studied as a function of charged particle multiplicity density ($dN_{ch}/deta$). In addition to this, we also study these parameters as a function of particle mass to observe any possible mass ordering. All the identified hadrons show a mass ordering in temperature, non-extensive parameter and also a strong dependence on multiplicity classes, except the lighter particles. It is observed that as the particle multiplicity increases, the $q$-parameter approaches to Boltzmann-Gibbs value, hence a conclusion can be drawn that system tends to thermal equilibrium. The observations are consistent with a differential freeze-out scenario of the produced particles.