Speaker
Phillip Lakaschus
(G)
Description
We consider the two-flavor version of the extended linear sigma model (eLSM), which contains (pseudo)scalar and (axial-)vector quark-antiquark mesons, a scalar glueball [predominantly corresponding to f0(1710)], as well as the nucleon and its chiral partner. We extend this model by the additional light scalar meson f0(500), predominantly a putative four-quark state. We investigate various interaction terms of the four-quark and glueball states with the other particles, some of which preserve and some of which explicitly break the U(1)A symmetry. We test our model by performing a global fit to masses and decay widths of the scalar resonances and pion-pion scattering lengths. We also discuss the influence of the scalar four-quark state and the glueball on the baryon sector by evaluating pion-nucleon scattering parameters. We find that the inclusion of f0(500) improves the description of pion-pion and pion-nucleon scattering lengths.
Primary authors
Dirk Rischke
(Goethe University Frankfurt am Main)
Prof.
Francesco Giacosa
(Institute of Physics, Jan Kochanowski University, PL-25406 Kielce, Poland)
Mr
Justin Mauldin
(Institute for theoretical physics, Goethe University Frankfurt)
Phillip Lakaschus
(G)
