Pseudopotential of hybrid mesons in a holographic anisotropic plasma*

Abstract We investigate the pseudopotential of hybrid mesons in a holographic anisotropic background within the AdS/CFT correspondence. Hybrid states are modeled by introducing a defect, and we analyze the associated force-balance condition in the string configuration. From this setup, we derive the balance equation and compute key physical quantities, including the separation distance, pseudopotential, and binding energy of the hybrid mesons. We find that increasing the anisotropy parameter a decreases the separation distance for both ground and excited states. However, while the ground-state potential decreases, the pseudopotential of the hybrid state increases. Additionally, the pseudopotential of hybrid mesons exhibits significant sensitivity to variations in the angular parameter α .