  Using the existing state of art of the QCD expressions of the two-point
correlators into the Inverse Laplace sum rules (LSR) within stability criteria,
we present a first analysis of the spectra and decay constants of B_c-like
scalar (0^{++}) and axial-vector (1^{++}) mesons and revisit the ones of the
B^*_c(1^{--}) vector meson. Improved predictions are obtained by combining
these LSR results with the some mass-splittings from Heavy Quark Symmetry
(HQS). We complete the analysis by revisiting the B^*_{0}(0^{++}) mass which
might be likely identified with the B^*_J(5732) experimental candidate. The
results for the spectra collected in Table 2 are compared with some recent
lattice and potential models ones. New estimates of the decay constants are
given in Table 3.
