Production cross sections of tetraquark states in elementary hadronic collisions

Gábor Balassa,György Wolf

doi:10.1140/epja/s10050-021-00553-1

Abstract

Inclusive production cross sections of the possible exotic state X(3872) in proton–proton, pion-proton and proton–antiproton collisions are calculated using a statistical based model, which is previously used to describe inclusive charmed and bottomed hadron production cross sections in the low energy region. With the extensions made here the model is capable to include tetraquarks as well, using the diquark picture of tetraquarks. The evaluated cross section ratio of varPsi (2S) and X(3872) at sqrt{s}=7 TeV agrees well with the measured value.

Highlights

The properties of states containing heavy quarks e.g. hidden charmed tetraquarks [13]
We examine the possible hidden charmed tetraquark state X (3872), which is measured at the Belle collaboration in 2003 from B → X K + and X → J/Ψ π +π − decays [18]
The model starts from the assumption that during a hadronic collision a so called fireball is formed, which will hadronize into some specific hadronic final state with a probability described by the model

Summary

Introduction

J. A (2021) 57:246 ferent, statistical based approach to calculate inclusive and exclusive hardonic cross sections with tetraquark states in the final states, using the diquark-antidiquark picture. 3 we introduce the necessary estimations to a necessary ingredient - the quark creational probabilities - at very high energies in the TeV range, where due to the limited data a simple fit was not possible, as it was before at lower energies. This estimation is needed to be able to validate the model using the measured value at 7 TeV CM energy in proton–proton collisions.

Statistical model approach

Estimating the quark creational probabilities at high energies

Results

Conclusions