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Masses and Decay Constants of Heavy–Light and Heavy–Heavy Mesons Using Variational Method with Three-Loop Effects

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Abstract

In the present analysis we consider the standard Cornell potential for \(Q\bar{Q}\) (quark–antiquark) bound system and apply quantum mechanical variational method to compute the spectroscopy of both heavy–light and heavy–heavy pseudo-scalar mesons. In the \(Q\bar{Q}\) system, the QCD correction to the running strong coupling constant is improved up to \(N^3LO\) level (three-loop effects). The values of improved strong coupling constant with three-loop contributions are then implemented in our analysis to estimate the masses and decay constants of the heavy-flavour mesons. Detailed comparison is made with other advanced predictions connected to this area and data.

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Acknowledgements

The authors wish to thank the referees for valuable suggestions for improving the manuscript.

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Authors and Affiliations

  1. Department of Physics, Gauhati University, Guwahati, 781014, India

    Rashidul Hoque & D. K. Choudhury

  2. Centre of Theoretical Studies, Pandu College, Guwahati, India

    Rashidul Hoque, B. J. Hazarika & D. K. Choudhury

  3. Department of Physics, Tezpur University, Tezpur, India

    Jugal Lahkar

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  1. Rashidul Hoque
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  2. B. J. Hazarika
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  3. D. K. Choudhury
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  4. Jugal Lahkar
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Hoque, R., Hazarika, B.J., Choudhury, D.K. et al. Masses and Decay Constants of Heavy–Light and Heavy–Heavy Mesons Using Variational Method with Three-Loop Effects. Few-Body Syst 64, 26 (2023). https://doi.org/10.1007/s00601-023-01815-y

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