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Bottomonium spectroscopy motivated by general features of pNRQCD

High Energy Physics - Phenomenology 2022-01-05 v3

Abstract

The bottomonium mass spectra is computed in the framework of potential non-relativistic quantum chromodynamics. The potential consists of a static term incorporating Coulombic plus confinement part along with a correction term added non-perturbatively from pNRQCD, which is classified in powers of the inverse of heavy quark mass \textit{O}(1/m)(1/m). The masses of excited bottomonia are calculated by perturbatively adding spin-hyperfine, spin-orbit and tensor components of one gluon exchange interactions in powers of \textit{O}(1/m2)(1/m^2). Calculated masses are found to be consistent with other theoretical studies and experimental data. The Regge trajectories of the calculated mass spectra are also constructed. The values of the wave-functions are extracted and employed to calculate the electromagnetic transition widths and γγ\gamma\gamma, e+ee^+e^-, light hadron and γγγ\gamma\gamma\gamma decay widths of several states at various leading orders, within the non-relativistic QCD formalism. Some of the experimentally reported states of bottomonium family like Υ\Upsilon(10860), Υ\Upsilon(11020) and X(10610) are identified as mixed SDS-D wave and PP-wave states.

Keywords

Cite

@article{arxiv.1810.13383,
  title  = {Bottomonium spectroscopy motivated by general features of pNRQCD},
  author = {Raghav Chaturvedi and Ajay Kumar Rai and Nakul R. Soni and Jignesh N. Pandya},
  journal= {arXiv preprint arXiv:1810.13383},
  year   = {2022}
}

Comments

28 pages, 3 figures, Data updated, Accepted for publication in Journal of Physics G