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 × 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.
Highlights
The fundamental interactions of quarks and gluons are described by quantum chromodynamics (QCD)
We developed the so-called extended Linear Sigma Model [2] in whichscalar andvector qq mesons and additional scalar and pseudoscalar glueball fields are the basic degrees of freedom
The extended linear sigma model (eLSM) emulates the global symmetries of the QCD Lagrangian: the global chiral symmetry, the discrete C, P, and T symmetries, and the classical dilatation symmetry
Summary
The fundamental interactions of quarks and gluons are described by quantum chromodynamics (QCD). The development of an effective hadronic Lagrangian plays an important role in the description of the masses and the interactions of low-lying hadron resonances [1] To this end, we developed the so-called extended Linear Sigma Model (eLSM) [2] in which (pseudo)scalar and (axial-)vector qq mesons and additional scalar and pseudoscalar glueball fields are the basic degrees of freedom. We calculate all meson masses in the eLSM including light and charmed mesons, the (OZI-dominant) strong decays of open charmed mesons, and the weak decay constants of charmed mesons These proceedings are organized as follows: in Sec. 2 we present the U(N f )R × U(N f )L extended Linear Sigma Model with (axial-)vector mesons.
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