  In this paper, lattice simulations are used to propose a potential model for
gluonic excited $\Sigma^-_u$ states of bottomonium meson . This proposed model
is used to calculate radial wave functions, masses and radii of $\Sigma_u^-$
bottomonium hybrid mesons. Here, gluonic field between a quark and an antiquark
is treated as in the Born-Oppenheimer expansion, and Schr$\ddot{o}$dinger
equation is numerically solved employing shooting method. Results of calculated
masses for $\Sigma^-_{u}$ state are in quite good agreement with the lattice
simulations.
