To describe the transverse momentum (pt) distribution of charged hadrons at 1.96 TeV observed by the CDF collaboration, we propose a formula with two components, namely, hadron gas distributions and… Click to show full abstract
To describe the transverse momentum (pt) distribution of charged hadrons at 1.96 TeV observed by the CDF collaboration, we propose a formula with two components, namely, hadron gas distributions and inverse power laws inspired by QCD calculus. The new formula based on a formula by Hagedorn in 1983 includes an integration of pseudo-rapidity η. The data collected at 0.9, 2.76, 7 and 13 TeV by the ALICE, CMS, and ATLAS collaborations are also analyzed using various models including single component models as well as two-component models. The results by the use of the modified version of Hagedorn’s formula are compared with those by the use of the two-component model proposed by Bylinkin, Rostovtsev and Ryskin (BRR). We investigate whether or not there is an interrelation among our modified formula, a formula proposed by ATLAS collaboration, and the BRR formula. Moreover, formulas for the pt distributions in the nonextensive approach are discussed.
               
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