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

Understand

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$_\textup{f}=2+1$ 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.