Evidence of multifractality and constant specific heat in hadronic collisions at high energies

Abstract

We analyzed the experimental data on the charged pion multiplicity distribution in p-AgBr interactions at 200 GeV/c and ${\ensuremath{\pi}}^{\ensuremath{-}}\ensuremath{-}\mathrm{AgBr}$ interactions at 200 and 350 GeV/c in terms of multifractals. We calculate the values of generalized dimension ${D}_{q}$ for $q=2,$ 3, 4, and 5 with the help of the method proposed by Takagi. Also from the knowledge of ${D}_{q},$ the multifractal specific heat is calculated for different sets of interactions. It has been observed that the value of specific heat is more or less constant over the entire range of energies. This observation supports the constant specific heat approximation model and suggests that this parameter may come out as an essential characteristic of the hadron-hadron and hadron-nucleus interactions.