Bottomonium spectroscopy using Coulomb plus linear (Cornell) potential

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 Upsilon(10860) as an admixture of 4(3)S(1) with 4(3)D(1) and Upsilon(10753) as an admixture of 6(3)S(1) with 4(3)D(1); also, we try to assign Upsilon(11020) as a pure 4(3)D(1) bottomonium state. We also study the Regge trajectories in the (J, M-2) and (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.

Automated summary

The study investigates the mass spectrum of bottomonium using the Coulomb plus linear (Cornell) potential. Gaussian wave function is employed in position and momentum space to estimate potential and kinetic energies. Based on calculations, the study identifies Upsilon(10860) as an admixture of 4(3)S(1) with 4(3)D(1), Upsilon(10753) as an admixture of 6(3)S(1) with 4(3)D(1), and suggests Upsilon(11020) as a pure 4(3)D(1) bottomonium state. Regge trajectories in the (J, M-2) and (n(r), M-2) planes are examined to support the findings. Additionally, estimates are made for the decay constants, transition rates, and annihilation decay width for bottomonium states.