Bottomonium spectroscopy in effective field theory formalism

2018 
The mass spectra of bottomonium is computed in the framework of potential nonrelativistic quantum chromodynamics. The potential consists of a static term incorporating Coulombic plus confinement part along with a constant as well as a relativistic correction term classified in powers of the inverse of heavy quark mass \textit{O}$(1/m)$. The masses of excited bottomonia are constructed by employing spin-hyperfine, spin-orbit and tensor components of one gluon exchange interactions. The outcome is compared with the latest results from PDG and is found to be in good agreement. The Regge trajectories of the calculated mass spectra are also constructed. The values of the wave-functions are extracted and employed to calculate the $\gamma\gamma$ and $e^{+}e^{-}$ decay widths of $S$ wave pseudoscalar and vector states, the $\gamma\gamma$ decay width of $n^3P_J$ ($J = 0, 2$) states are calculated up to $\textit{O${(\nu)}^4$}$ within the nonrelativistic QCD formalism. We also compute the electromagnetic transition widths without using additional parameter. Some of the experimentally reported states of bottomonia by Belle II (for example $X$(10610)), are identified as mixed $P$-wave and mixed $S-D$ wave states.
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