Examining the model dependence of the determination of kinetic freeze-out temperature and transverse flow velocity in small collision system

The transverse momentum distributions of the identified particles produced in small collision systems at the Relativistic Heavy Ion Collider(RHIC) and Large Hadron Collider(LHC) have been analyzed by four models. The first two models utilize the blast-wave model with different statistics. The last two models employ certain linear correspondences based on different distributions.The four models describe the experimental data measured by the Pioneering High Energy Nuclear Interaction eXperiment, Solenoidal Tracker at RHIC, and A Large Ion Collider Experiment collaborations equally well. It is found that both the kinetic freeze-out temperature and transverse flow velocity in the central collisions are comparable with those in the peripheral collisions. With the increase of collision energy from that of the RHIC to that of the LHC,the considered quantities typically do not decrease. Comparing with the central collisions, the proton–proton collisions are closer to the peripheral collisions.

Kinetic freeze-out temperatures in central and peripheral collisions:which one is larger?

The kinetic freeze-out temperatures, T_0, in nucleus–nucleus collisions at the Relativistic Heavy Ion Collider(RHIC) and Large Hadron Collider(LHC) energies are extracted by four methods:(1) the Blast-Wave model with Boltzmann–Gibbs statistics(the BGBW model),(2) the Blast-Wave model with Tsallis statistics(the TBW model),(3) the Tsallis distribution with flow effect(the improved Tsallis distribution), and(4) the intercept in T=T_0+ am_0(the alternative method), where m_0 denotes the rest mass and T denotes the effective temperature which can be obtained by different distribution functions. It is found that the relative sizes of T_0 in central and peripheral collisions obtained by the conventional BGBW model which uses a zero or nearly zero transverse flow velocity, β_T, are contradictory in tendency with other methods. With a re-examination for β_Tin the first method,in which β_Tis taken to be ～ (0:40 ± 0:07)c, a recalculation presents a consistent result with others. Finally, our results show that the kinetic freeze-out temperature in central collisions is larger than that in peripheral collisions.