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To describe the transverse distribution of charged hadrons at 1.96 TeVobserved by the CDF collaboration, we propose a formula with two component,namely, hadron gas distributions and inverse power laws. The data collected at0.9, 2.76, 7, and 13 TeV by the ALICE, CMS, and ATLAS collaborations are alsoanalyzed using various models including single component models as well as twocomponent models. The results by using modified version of Hagedorn's formulaare compared with those by using the two component model proposed by Bylinkin,Rostovtsev and Ryskin (BRR). Moreover, we show that there is an interestinginterrelation among our the modified version of Hagedorn's formula, a formulaproposed by ATLAS collaboration, and the BRR formula.

Analyses of whole transverse momentum distributions in $p\bar p$ and $pp$ collisions by using a modified version of Hagedorn's formula