Heavy-light quark systems from the QCD instanton vacuum: $N_f=1$ light flavor case

Abstract

We investigate heavy-light quark systems within the framework of the QCD instanton vacuum, focusing on the $N_f=1$ light flavor case. We derive an effective heavy-light quark interaction from the low-energy QCD partition function and construct a heavy-meson effective Lagrangian. The physical residual mass of heavy mesons, $\Lambda$, is determined by employing compositeness and normalization conditions. We calculate the masses of $D$ and $B$ mesons and their weak decay constants to the leading order and next-to-leading order in the $1/m_Q$ expansion. The current results for $f_D$ and $f_B$ are in good agreement with recent lattice QCD data and PDG average values.

13 pages, 4 figures. Discussion part was improved, and additional references were added

References in corpus (9)

• FLAG Review 2021
• Pion mean fields and heavy baryons
• Low energy constants of \chiPT from the instanton vacuum model
• Magnetic susceptibility of the QCD vacuum
• Electromagnetic transitions of the singly charmed baryons with spin 3/2
• Electromagnetic form factors of the pion and kaon from the instanton vacuum
• 1/N_c corrections to the magnetic susceptibility of the QCD vacuum
• Kaon semileptonic decay (K_{l3}) form factors from the instanton vacuum
• Test of the nonrelativistic $c\bar{c}$ potential