Nonextensive statistical effects in ep at HERA and pp at ISR interactions
Soumya Sarkar, R. Aggarwal, M. Kaur
The hadronic multiplicity in ep and pp interactions is studied by using Tsallis q-statistics. To exploit the nonextensive nature of entropy in these interactions, we have devised two methods to find a solution for the entropic parameter q and the temperature parameter β−1. It is shown that both the methods give nearly the same results and are consistent with the previously published results. The interactions are studied in different energy ranges and different rapidity regions, by using these methods. The results show that the interactions deviate from Maxwell-Boltzmann statistics and follow Tsallis non-extensive statistics giving q>1 for all energy ranges and in all phase space intervals, as predicted in the Tsallis approach. A detailed investigation into the role of the system volume and relation amongst entropic parameter q, invariant hadron mass W and the squared four-momentum exchange for ep interaction reveals interesting results.