Axial anomaly and hadronic properties in a nuclear medium

Abstract

We investigate meson and nucleon dynamics at finite baryon density and temperature by coupling the nucleon field and the omega meson to the three-flavor linear sigma model and calculate hadronic properties around the nuclear liquid-gas transition. We apply the functional renormalization group method, and find that mesonic fluctuations increase the strength of the coefficient of the $U_A(1)$ breaking determinant operator as a function of the chiral condensate. As a consequence, we find that the actual value of the anomaly increases discontinuously at the first order nuclear liquid-gas transition. We calculate how mesonic masses and partial restoration of chiral symmetry are modified due to such an effect.

14 pages, 7 figures, matches published version

References in corpus (11)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Incompressibility in finite nuclei and nuclear matter
• η- and η'-mesic nuclei and U_A(1) anomaly at finite density
• Analysis of U${}_A$(1) symmetry-breaking and restoration effects on the scalar-pseudoscalar spectrum
• Functional renormalization group studies of nuclear and neutron matter
• Baryon number fluctuations in chiral effective models and their phenomenological implications
• Missing-mass spectroscopy of the ${}^{12}\mathrm{C}(p,d)$ reaction near the ${\eta }^{\prime }$-meson production threshold
• Phase structure of NJL model with weak renormalization group
• Mesonic and nucleon fluctuation effects at finite baryon density

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• Exploring axial $U(1)$ restoration in a modified 2+1 flavor Polyakov quark meson model
• Fate of the topological susceptibility in two-color dense QCD
• New Insight about the Effective Restoration of U_A(1) Symmetry
• Structure of eta' mesonic nuclei in a relativistic mean field theory
• Field dependence of the Yukawa coupling in the three flavor quark-meson model