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arXiv · 1604.04782

The eLSM at nonzero density

Francesco Giacosa
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Abstract

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 $f_{0}(1370),$ which is then predominantly a quarkonium state. As a consequence, $f_{0}(500)$ is predominately not a quarkonium state but a four-quark object and is at first not part of the model. Yet, $f_{0}(500)$ 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 $f_{0}(500)$ in a chiral invariant manner. We then discuss homogeneous and inhomogeneous chiral restoration in a dense medium.

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Francesco Giacosa. 2016-04-16. The eLSM at nonzero density. https://doi.org/10.1088/1742-6596%2F742%2F1%2F012010

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