  Properties of nuclear matter are investigated in the framework of
relativistic Brueckner-Hartree-Fock model with the latest high-precision
charge-dependent Bonn (pvCD-Bonn) potentials, where the coupling between pion
and nucleon is adopted as pseudovector form. These realistic pvCD-Bonn
potentials are renormalized to effective nucleon-nucleon ($NN$) interactions,
$G$ matrices. They are obtained by solving the Blankenbecler-Sugar (BbS)
equation in nuclear medium. Then, the saturation properties of symmetric
nuclear matter are calculated with pvCD-Bonn A, B, C potentials. The energies
per nucleon are around $-10.72$ MeV to $-16.83$ MeV at saturation densities,
$0.139$ fm$^{-3}$ to $0.192$ fm$^{-3}$ with these three potentials,
respectively. It clearly demonstrates that the pseudovector coupling between
pion and nucleon can generate reasonable saturation properties comparing with
pseudoscalar coupling. Furthermore, these saturation properties have strong
correlations with the tensor components of $NN$ potentials, i.e., the $D$-state
probabilities of deuteron, $P_D$ to form a relativistic Coester band. In
addition, the charge symmetry breaking (CSB) and charge independence breaking
(CIB) effects are also discussed in nuclear matter from the partial wave
contributions with these high-precision charge-dependent potentials. In
general, the magnitudes of CSB from the differences between $nn$ and $pp$
potentials are about $0.05$ MeV, while those of CIB are around $0.35$ MeV from
the differences between $np$ and $pp$ potentials. Finally, the equations of
state of asymmetric nuclear matter are also calculated with different asymmetry
parameters. It is found that the effective neutron mass is larger than the
proton one in neutron-rich matter.
