  Chainwise stimulated Raman adiabatic passage (C-STIRAP) in M-type molecular
system is a good alternative in creating ultracold deeply-bound molecules when
the typical STIRAP in {\Lambda}-type system does not work due to weak
Frank-Condon factors between states. However, its creation efficiency under the
smooth evolution is generally low. During the process, the population in the
intermediate states may decay out quickly and the strong laser pulses may
induce multi-photon processes. In this paper, we find that
shortcut-to-adiabatic (STA) passage fits very well in improving the performance
of the C-STIRAP. Currently, related discussions on the so-called chainwise
stimulated Raman shortcut-to-adiabatic passage (C-STIRSAP) are rare. Here, we
investigate this topic under the adiabatic elimination. Given a relation among
the four incident pulses, it is quite interesting that the M-type system can be
generalized into an effective {\Lambda}-type structure with the simplest
resonant coupling. Consequently, all possible methods of STA for three-state
system can be borrowed. We take the counter-diabatic driving and "chosen path"
method as instances to demonstrate our treatment on the molecular system.
Although the "chosen path" method does not work well in real three-state system
if there is strong decay in the excited state, our C-STIRSAP protocol under
both the two methods can create ultracold deeply-bound molecules with high
efficiency in the M-type system. The evolution time is shortened without strong
laser pulses and the robustness of STA is well preserved. Finally, the
detection of ultracold deeply-bound molecules is discussed.
