Regular Article – Theoretical Physics
Importance of confinement in instanton induced potential for bottomonium spectroscopy
Department of Physics, Sardar Patel University, 388120, Vallabh Vidyanagar, Gujarat, India
2 P. D. Patel Institute of Applied Sciences, CHARUSAT, Changa, India
Accepted: 22 January 2021
Published online: 3 February 2021
Mass spectra of bottomonium states are computed using the Instanton Induced potential obtained from Instanton Liquid Model for QCD vacuum and incorporating a stronger confinement term. Spin dependent interactions through confined one gluon exchange potential are incorporated to remove the mass degeneracy. The mass spectra of the states up to 4S states are found to be in good agreement with the values reported by PDG(2020). Mixing of nearby isoparity states are also studied. We found the state as an admixture of and Upsilon states with mixing angle and the mixed state di-leptonic decay width is found to be 0.25 keV as against the width of keV reported by PDG. Further the state is also found to be the admixture of and Upsilon states with the mixing angle and the di-leptonic decay width of the mixed state is obtained as 0.14 keV which is very close to the width of keV reported by PDG. Present results indicates that addition of confinement to the instanton potential is crucial for the determination of the mass spectroscopy of heavy hadrons.
© The Author(s) 2021
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