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

• Published in: Few-body systems Vol. 64; no. 2; p. 26
• Main Authors: Hoque, Rashidul, Hazarika, B. J., Choudhury, D. K., Lahkar, Jugal
• Format: Journal Article
• Language: English
• Published: Vienna Springer Vienna 15-05-2023; Springer Nature B.V
• Subjects: Atomic; Coupling; Decay rate; Flavor (particle physics); Hadrons; Heavy Ions; Light; Mesons; Molecular; Nuclear Physics; Optical and Plasma Physics; Particle and Nuclear Physics; Physics; Physics and Astronomy; Quantum chromodynamics; Quantum mechanics; Quarks; Schrodinger equation; Spectrum analysis
• ISSN: 1432-5411; 0177-7963; 1432-5411
• DOI: 10.1007/s00601-023-01815-y

In the present analysis we consider the standard Cornell potential for
Q
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
Q
¯
system, the QCD correction to the running strong coupling constant is improved up to
N
3
L
O
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.