Potential Model for \({\mit \Sigma }_{u}^{-}\) Hybrid Meson State

In this paper, lattice simulations are used to propose a potential model for gluonic excited \({\mit \Sigma }^-_u\) states of bottomonium meson. This proposed model is used to calculate radial wave functions, masses and radii of \({\mit \Sigma }_u^-\) bottomonium hybrid mesons. Here, the gluonic field between a quark and an antiquark is treated as in the Born–Oppenheimer approximation, and the Schrödinger equation is numerically solved employing the shooting method.