  We holographically investigate the decay of heavy-flavoured baryonic hadron
involving glueball by using the Witten-Sakai-Sugimoto model. Since baryon in
this model is recognized as the D4-brane wrapped on $S^{4}$ and the glueball
field is identified as the bulk gravitational fluctuations, the interaction of
the bulk graviton and the baryon brane could be naturally interpreted as
glueball-baryon interaction through the holography which is nothing but the
close-open string interaction in string theory. In order to take account into
the heavy flavour, an extra pair of heavy-flavoured branes separated from the
other flavour branes with a heavy-light open string is embedded into the bulk.
Due to the finite separation of the flavour branes, the heavy-light string
creates massive multiplets which could be identified as the heavy-light meson
fields in this model. As the baryon brane on the other hand could be
equivalently described by the instanton configuration on the flavour brane, we
solve the equations of motion for the heavy-light fields with the
Belavin-Polyakov-Schwarz-Tyupkin (BPST) instanton solution for the $N_{f}=2$
flavoured gauge fields. Then with the solutions, we evaluate the soliton mass
by deriving the flavoured onshell action in strongly coupling limit and heavy
quark limit. After the collectivization and quantization, the quantum
mechanical system for glueball and heavy-flavoured baryon is obtained in which
the effective Hamiltonian is time-dependent. Finally we use the standard
technique for the time-dependent quantum mechanical system to analyze the decay
of heavy-flavoured baryon involving glueball and we find one of the decay
process might correspond to the decay of baryonic B-meson involving the
glueball candidate $f_{0}\left(1710\right)$. This work is a holographic
approach to study the decay of heavy-flavoured hadron in nuclear physics.
