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arXiv · 2005.02626

Potential Model for $\Sigma_{u}^{-}$ Hybrid Meson State

Nosheen Akbar·Saba Noor
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Abstract

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.

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Nosheen Akbar, Saba Noor. 2020-05-06. Potential Model for $\Sigma_{u}^{-}$ Hybrid Meson State. https://doi.org/10.5506/aphyspolb.52.1105

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