Nucleon-meson couplings in a one-boson-exchange potential using noncritical string theory

A noncritical holographic QCD model constructed in the six dimensional anti\char21{}de Sitter (AdS${}_{6}$) supergravity background is employed to study a baryon. It is shown that the size of the baryon is of order one with respect to the $\ensuremath{\lambda}$, 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 noncritical 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 noncritical holographic QCD model can be a good toy to calculate the meson-nucleon couplings.