https://doi.org/10.1140/epjc/s10052-021-08901-7
Regular Article – Theoretical Physics
Importance of confinement in instanton induced potential for bottomonium spectroscopy
1
Department of Physics, Sardar Patel University, 388120, Vallabh Vidyanagar, Gujarat, India
2
P. D. Patel Institute of Applied Sciences, CHARUSAT, Changa, India
Received:
21
October
2020
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
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3
