  In this paper, a theoretical method for the efficient creation and detection
of deeply bound molecules in three-state $\Lambda$-type and five-state M-type
molecular systems is proposed. The method is based on the three-state
coincident pulses technique and the generalized five-state coincident pulses
technique. For the three-state system, the technique can efficiently transfer
the populations from the Feshbach state to the deeply-bound state via a train
of $N$ pairs of resonant and coincident pump and Stokes pulses, with negligible
transient populations of excited states. For the five-state system, it is found
that this M-type system can be generalized into a $\Lambda$-type structure with
the simplest resonant coupling under the assumption of large one-photon
detuning together with a requirement of the relation among the four incident
pulses. Thereafter, this generalized model permits us to employ the reduced
three-state propagator to design four coincident pulses to achieve the desired
population transfer. For the numerical study, $^{87}$Rb$_2$ is considered and,
it is shown that the weakly-bound Feshbach molecules can be efficiently
transferred to their deeply-bound states without strong laser pulses, and the
populations of all intermediate states can be well suppressed.
