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

TL;DR

This paper uses a non-critical holographic QCD model in six dimensions to calculate nucleon-meson couplings, providing results that align well with phenomenological models and the Sakai-Sugimoto model, offering a new approach to study baryons.

Contribution

The paper introduces a non-critical $AdS_6$ holographic QCD model to compute meson-nucleon couplings, expanding the toolkit for baryon studies beyond critical string theory models.

Findings

Baryon size is of order one in $\lambda$ but smaller than the QCD scale.

Calculated meson-nucleon couplings agree with phenomenological models.

Results are comparable to those from the Sakai-Sugimoto model.

Abstract

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.