Do glueballs contribute in heavy-ion collisions?

Abstract

In heavy ion collision simulations many hadron states and/or parton degrees of freedom are included in order to obtain the observables. Meson spectroscopy, for example, considers the 0 ++ meson as a mixture of q q and glue. This fact is usually not considered in heavy ion collision physics. In the present work we consider two extreme possibilities for the constitution of the 0 ++ meson, either as a pure glueball or as q qmeson. The scattering amplitude and cross-sections with constituent interchange are determined for the two situations. The comparison showed that the glueball-glueball elastic scattering cross-section for a color singlet state is between one to two orders of magnitude smaller than the corresponding q q state. The 2 ++ glueball-glueball interaction is also evaluated with similar behavior. Thus, glueball-glueball scattering is not very likely to introduce significant changes in heavy ion collision observables.

Fine-tuning in scalar meson decay with bound-state corrections

“…In the glueball mapping, the transformed operators are similar to the meson's and details are described in [33].…”

Glueball-Glueball Potential in a Constituent Gluon Model

“…For more details about this calculation see Ref 1 . The glueball-glueball potential can be obtained applying in a standard way the Fock-Tani transformed operators to the microscopic Hamiltonian…”

Low‐energy interaction in the Fock–Tani formalism

“…In this paper, we consider a mapping technique that has been used for a long time in atomic physics (Girardeau ), namely the Fock–Tani formalism, in its adapted formulation to hadron physics (Hadjimichef et al , , ; Silva & Hadjimichef ; Silva et al ) to describe hadron–hadron scattering interactions with constituent interchange.…”