The multiplicity, finite system size and collision energy dependence of heat capacity (\(C_V\)), conformal symmetry breaking measure (CSBM) and speed of sound (\(c_s\)) have been investigated using ALICE data for \(p+p\) collisions at \(\sqrt{s}\) = 7 TeV. The aim of this study is to ascertain the possibility of formation of a thermalized medium in such collisions. We find that there is a threshold in charged particle multiplicity beyond which \(C_V\), CSBM and \(c_s\) attain plateau. The presence of such threshold in multiplicity is further reflected in the variation of these quantities with center-of-mass energy (\(\sqrt{s}\)). In order to have a grasp on experimentally obtained results, variation of average transverse momentum with multiplicity has also been studied. The experimental results have been contrasted with PYTHIA8 and it is found that PYTHIA8 is inadequate to explain the features reflected in these quantities, thereby indicating the possibility of thermalization in such small system. It is also observed that the finite size effects alone cannot explain the non-extensive nature of particle spectra in \(p+p\) collisions.

已经使用 ALICE 数据研究了热容 ( \(C_V\) )、共形对称破坏度量 (CSBM) 和声速 ( \(c_s\) )的多重性、有限系统尺寸和碰撞能量依赖性\(p+ p\)在\(\sqrt{s}\) = 7 TeV处发生碰撞。这项研究的目的是确定在这种碰撞中形成热介质的可能性。我们发现带电粒子多样性存在一个阈值，超过该阈值\(C_V\)、CSBM 和\(c_s\)达到平稳状态。这种多重阈值的存在进一步反映在这些量随质心能量（\(\sqrt{s}\)）。为了掌握实验获得的结果，还研究了具有多重性的平均横向动量的变化。将实验结果与 PYTHIA8 进行对比，发现 PYTHIA8 不足以解释这些量所反映的特征，从而表明在如此小的系统中存在热化的可能性。还观察到，单独的有限尺寸效应不能解释\(p+p\)碰撞中粒子光谱的非扩展性。