2000/04/25 by Christian Beck · 168 citations
Physics and Astronomy · #Annihilation #Dust and Plasma Wave Phenomena #Elementary particle #Fermion #Formalism (music) #High-Energy Particle Collisions Research #Partition (number theory) #Partition function (quantum field theory) #Quantum statistical mechanics #Spectral line #Statistical Mechanics and Entropy #Statistical mechanics #hep-ph
paper · pdf · doi:10.1016/s0378-4371(00)00354-x
published in Physica A Statistical Mechanics and its Applications 286(1-2), 164-180 (Elsevier BV) · submitted to Physica A
arxiv created 2000/04/25 · openalex publication_date 2000/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We generalize Hagedorn's statistical theory of momentum spectra of particles produced in high-energy collisions using Tsallis' formalism of non-extensive statistical mechanics. Suitable non-extensive grand canonical partition functions are introduced for both fermions and bosons. Average occupation numbers and moments of transverse momenta are evaluated in an analytic way. We analyse the energy dependence of the non-extensitivity parameter q as well as the q-dependence of the Hagedorn temperature. We also take into account the multiplicity. As a final result we obtain formulas for differential cross sections that are in very good agreement with e+e- annihilation experiments.