A pseudoscalar glueball and charmed mesons in the extended Linear Sigma Model

TL;DR

This paper extends the linear sigma model to include a pseudoscalar glueball and charm quarks, predicting decay properties relevant for upcoming experiments at FAIR.

Contribution

It introduces a pseudoscalar glueball and charm quark extension to the eLSM, providing decay predictions for experimental verification.

Findings

Predicted pseudoscalar glueball mass of 2.6 GeV.

Computed decay widths for open charmed mesons.

Provided mass and decay constant predictions for charmed states.

Abstract

In the framework of the so-called extended linear sigma model (eLSM), we include a pseudoscalar glueball with a mass of 2.6 GeV (as predicted by Lattice-QCD simulations) and we compute the two- and three-body decays into scalar and pseudoscalar mesons. This study is relevant for the future PANDA experiment at the FAIR facility. As a second step, we extend the eLSM by including the charm quark according to the global $U(4)_R \times U(4)_L$ chiral symmetry. We compute the masses, weak decay constants and strong decay widths of open charmed mesons. The precise description of the decays of open charmed states is important for the CBM experiment at FAIR.