  A non-critical holographic QCD model constructed in the six dimensional
Anti-de-Sitter ($AdS_6$) supergravity background is employed to study a the
baryon. It is shown that the size of the baryon is of order one with respect to
the $\lambda$, however, it is smaller than the scale of the dual QCD. An
effective four dimensional action for the nucleon is obtained in terms of the
meson exchange potentials. All meson-nucleon couplings in the non-critical
$AdS_6$ background are calculated. Results obtained using our model are
compared with predictions of four modern phenomenological interaction models.
Also, our numerical results are compared with the results of the Sakai-Sugimoto
(SS) model which indicate that the non-critical holographic QCD model can be a
good toy to calculate the meson-nucleon couplings.

High Energy Physics - Theory