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arXiv · 2410.13279

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

Ki-Hoon Hong·Hyun-Chul Kim·M. M. Musakhanov·N. Rakhimov
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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.

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Ki-Hoon Hong, Hyun-Chul Kim, M. M. Musakhanov, N. Rakhimov. 2024-10-17. Heavy-light quark systems from the QCD instanton vacuum: $N_f=1$ light flavor case. https://doi.org/10.1103/physrevd.110.114044

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