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A non-critical holographic QCD model constructed in the six dimensionalAnti-de-Sitter ($AdS_6$) supergravity background is employed to study a thebaryon. It is shown that the size of the baryon is of order one with respect tothe $\lambda$, however, it is smaller than the scale of the dual QCD. Aneffective four dimensional action for the nucleon is obtained in terms of themeson exchange potentials. All meson-nucleon couplings in the non-critical$AdS_6$ background are calculated. Results obtained using our model arecompared 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 agood toy to calculate the meson-nucleon couplings.

Nucleon-Meson Couplings in One Boson Exchange Potential using Non-Critical String Theory