English

Bottomonium spectroscopy using Coulomb plus linear (Cornell) potential

High Energy Physics - Phenomenology 2022-01-28 v2

Abstract

The coulomb plus linear (Cornell) potential is used to investigate the mass spectrum of bottomonium. Gaussian wave function is used in position and momentum space to estimate values of potential and kinetic energies, respectively. Based on our calculations, we study newly observed Υ(10860){{\mathit \Upsilon}{(10860)}} as an admixture of 43S14^{3}S_{1} with 43D14^{3}D_{1}, and Υ(10753){{\mathit \Upsilon}{(10753)}} as an admixture of 63S16^{3}S_{1} with 43D14^{3}D_{1} also, we try to assign Υ(11020){{\boldsymbol \Upsilon}{(11020)}} as a pure 43D14^{3}D_{1} bottomonium state. We also study the Regge trajectories in the (J,M2)(J,M^{2}) and (nr,M2)(n_r,M^{2}) planes to help prove our association. We estimate the pseudoscalar and vector decay constants, the radiative (Electric and Magnetic Dipole) transition rates, and the annihilation decay width for bottomonium states.

Keywords

Cite

@article{arxiv.2201.08317,
  title  = {Bottomonium spectroscopy using Coulomb plus linear (Cornell) potential},
  author = {Virendrasinh Kher and Raghav Chaturvedi and Nayneshkumar Devlani and A. K. Rai},
  journal= {arXiv preprint arXiv:2201.08317},
  year   = {2022}
}
R2 v1 2026-06-24T08:56:53.721Z