Statistical method in quark combination model *

Abstract

We present a new method of solving the probability distribution for baryons, antibaryons and mesons in the hadronization of constituent quark and antiquark system. The hadronization is governed by the quark combination rule in the quark combination model developed by the Shandong Group. We use the method of generating function to derive the outcome of the quark combination rule, which is much simpler and easier to be generalized than the previous method. Furthermore, we use the formula of the quark combination rule and its generalization to calculate the multiplicity distribution of net-protons as well as the ratios of cumulants for net-protons in relativistic heavy-ion collisions.

Spectrum of fully-heavy tetraquarks from a diquark+antidiquark perspective

“…Once experimental results for the fullyheavy baryons are released, the quality of the match between our predictions and the data will give indications on the validity of the diquark model approach and the possible emergence of a baryon-meson dynamical supersymmetry. While there is a large number of studies on the spectroscopy of tetraquark states, there are few investigations regarding their production [97][98][99][100][101][102][103] and principal decay modes [33,69,85,86,[104][105][106][107][108][109]. Some progresses have been made.…”

Production of Strange and Charm Hadrons in Pb+Pb Collisions at sNN = 5.02 TeV

“…The QCM developed by the Shandong group led by Qu-Bing Xie [65][66][67][68][69][70] is a kind of exclusive or statistical hadronization model with constituent quarks as building blocks. A quark combination rule (QCR) can be derived for quarks and antiquarks in the neighborhood of the longitudinal phase space (momentum rapidity) to combine into baryons and mesons [65][66][67][68]87]. The QCM based on the QCR has successfully explained experimental data on hadron production in e + e − and pp collisions [65][66][67][68][69][70]88] as well as in heavy ion collisions [53,71,89].…”

“…Both A M, q1 q 2 and A B,q 1 q 2 q 3 are determined by the unitarity and the competition mechanism of meson-baryon production. Note that for light-quark systems produced in e + e − and pp collisions, A M, q1 q 2 and A B,q 1 q 2 q 3 correspond to combination weights of mesons and baryons that follow the QCR [65,66,87].…”