  We investigate the properties of light scalar and pseudoscalar mesons at
finite (light) quark chemical potential. To this end we solve a coupled set of
(truncated) Dyson-Schwinger equations for the quark and gluon propagators in
Landau-gauge QCD and extent earlier results for $N_f=2+1$ dynamical quark
flavors to finite chemical potential at zero temperature. We then determine the
meson bound state masses, wave functions, and decay constants for chemical
potentials below the first-order phase transition from their homogeneous
Bethe-Salpeter equation. We study the changes in the quark dressing functions
and Bethe-Salpeter wave functions with chemical potential. In particular, we
trace charge-conjugation parity breaking. Furthermore, we confirm the validity
of the Silver-Blaze property: all dependencies of colored quantities on
chemical potential cancel out in observables and we observe constant masses and
decay constants up to and into the coexistence region of the first-order chiral
phase transition.
