Nucleon-Meson Couplings in One Boson Exchange Potential using Non-Critical String Theory
Abstract
A non-critical holographic QCD model constructed in the six dimensional Anti-de-Sitter (AdS6) 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 λ, 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 AdS6 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.