Masses and decay constants of (axial-)vector mesons at finite chemical potential

Abstract

We update our previous results for (pseudo-)scalar mesons at zero temperature and finite quark chemical potential and generalize the investigation to include (axial-)vector mesons. We determine bound-state properties such as meson masses and decay constants up to chemical potentials far in the first-order coexistence region. To extract the bound-states properties, we solve the Bethe-Salpeter equation and utilize Landau-gauge quark and gluon propagators obtained from a coupled set of (truncated) Dyson-Schwinger equations with N${}_{\text{f}}=2+1$ dynamical quark flavors at finite chemical potential and vanishing temperature. For multiple (pseudo-)scalar and (axial-)vector mesons, we observe constant masses and decay constants for chemical potentials up to the coexistence region of the first-order phase transition thus verifying explicitly the Silver-Blaze property of QCD. Inside the coexistence region the pion becomes more massive and its decay constants decrease, whereas corresponding quantities for the (axial-)vector mesons remain (almost) constant.

8 pages, 4 figures, v2: minor changes, version accepted by EPJ

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• QCD chiral condensate and pseudoscalar-meson properties in the nuclear medium at finite temperature
• Illustrating the liquid gas transition of nuclear matter in QCD
• Critical endpoint of QCD in a finite volume
• Finite-energy sum rules at finite chemical potential and zero temperature