The eLSM at nonzero density

FAIRNESS 2016

Giacosa, Francesco^1,2

Institute of Physics, Jan Kochanowski University, ul. Swietokrzyska 15, Kielce

25-406, Poland^1

Institute for Theoretical Physics, J. W. Goethe University, Max-von-Laue-Str. 1, Frankfurt am Main

60438, Germany^2

关键词: Dense medium;    Nuclear matters;    Nucleon-nucleon;    Quarkonia;    Quarkonium;    Sigma model;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/742/1/012010/pdf
DOI  :  10.1088/1742-6596/742/1/012010

来源: IOP

【 摘 要 】

The extended Linear Sigma Model (eLSM) is an effective model of QCD which includes in the mesonic sector (pseudo)scalar and (axial-)vector quarkonia mesons as well as one dilaton/glueball field and in the baryonic sector the nucleon doublet and its chiral partner in the mirror assignment. The chiral partner of the pion turns out to be the resonance f0(1370), which is then predominantly a quarkonium state. As a consequence, f0(500) is predominately not a quarkonium state but a four-quark object and is at first not part of the model. Yet, f0(500) is important in the baryonic sector and affects nuclear matter saturation, the high- density behavior, and nucleon-nucleon scattering. In these proceedings, we show how to enlarge the two-flavour version of the eLSM in order to include the four-quark field f0(500) in a chirally invariant manner. We then discuss homogeneous and inhomogeneous chiral restoration in a dense medium.