  A weak-coupling formalism for superconducting states possessing both singlet
(even parity) and triplet (odd parity) components of the order parameter in
centrosymmetric crystals is developed. It is shown that the quasiparticle
energy spectrum may be non-degenerate even if the triplet component is unitary.
The superconducting gap of a mixed-parity state may have line nodes in the
strong spin-orbit coupling limit. The pseudospin carried by the superconducting
electrons is calculated, from which follows a prediction of a kink anomaly in
the temperature dependence of muon spin relaxation rate. The anomaly occurs at
the phase boundary between the bare triplet and mixed-parity states. The
stability of mixed-parity states is discussed within Ginzburg-Landau theory.
The results may have immediate application to the superconducting series
Pr(Os,Ru)4Sb12.
