Abstract
In this work, we extended our statistical model with charmed and bottomed hadrons, and fit the quark creational probabilities for the heavy quarks, using low energy inclusive charmonium and bottomonium data. With the finalized fit for all the relevant types of quarks (up, down, strange, charm, bottom) at the energy range from a few GeV up to a few tens of GeV’s, the model is now considered complete. Some examples are also given for proton–proton, pion–proton, and proton–antiproton collisions with charmonium, bottomonium, and open charm hadrons in the final state.
Highlights
Fitted value, the model had been proved to be able to describe inclusive charmonium production in proton–proton, and in pion–proton collisions
Including heavy quarks into statistical models have been done in the past [22], where usually a suppression factor is introduced into the quarks momentum distribution function, which measures the deviation from chemical equilibrium
In our model the quark creational probabilities are taking over this role, which were fitted to measured cross sections, with final states containing heavy quarks
Summary
The model is based on the assumption that during a collision process a so called fireball is formed, which after a short time, will hadronize into a specific final state. The last ingredient to the hadronization probability is the quark combinatorial factor and the corresponding quark creational probabilities This is, in some way, similiar to the parton model [27,28], where the partonic cross sections are integrated out with the parton density functions giving a hadronic cross section. If the calculated process respects the conservation laws and the quarks/antiquarks from the colliding particles are included into the combinatorial factors, meaning ni = ni + ninitial will be the number of a specific quark/antiquark, there will be no quarks or antiquarks left unpaired at the end, and every quark, which is not used in the final state, could annihilate with a corresponding antiquark. Only processes with the quantum numbers of the initial state is considered and for many fireballs only the full final state, with all the produced hadrons has to respect the conservation laws, and not each fireball separately
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