We investigate heavy-light quark systems within the framework of the QCD instanton vacuum, focusing on the <math><msub><mi>N</mi><mi>f</mi></msub><mo>=</mo><mn>1</mn></math> 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, <math><mi>Λ</mi></math>, is determined by employing compositeness and normalization conditions. We calculate the masses of <math><mi>D</mi></math> and <math><mi>B</mi></math> mesons and their weak decay constants to the leading order and next-to-leading order in the <math><mn>1</mn><mo>/</mo><msub><mi>m</mi><mi>Q</mi></msub></math> expansion. The current results for <math><msub><mi>f</mi><mi>D</mi></msub></math> and <math><msub><mi>f</mi><mi>B</mi></msub></math> are in good agreement with recent lattice QCD data and Particle Data Group (PDG) average values.

South Korea

Ki-Hoon Hong

Hyun-Chul Kim

Uzbekistan

M.M. Musakhanov

N. Rakhimov

M. M. Musakhanov

Heavy-light quark systems from the QCD instanton vacuum: <math><msub><mi>N</mi><mi>f</mi></msub><mo>=</mo><mn>1</mn></math> light flavor case

We investigate instanton effects on the heavy-quark potential, including its spin-dependent part, based on the instanton liquid model. Starting with the central potential derived from the instanton vacuum, we obtain the spin-dependent part of the heavy-quark potential. We discuss the results of the heavy-quark potential from the instanton vacuum. Finally, we solve the nonrelativistic two-body problem, associated with the heavy-quark potential from the instanton vacuum. The instanton effects on the quarkonia spectra are marginal but are required for quantitative description of the spectra.

Japan

U.T. Yakhshiev

B. Turimov

Emiko Hiyama

Instanton effects on the heavy-quark static potentialSupported by Basic Science Research Program through the National Research Foundation (NRF) of Korea funded by the Korean government (Ministry of Education, Science and Technology, MEST), Grant NumbersÂ 2016R1D1A1B03935053 (UY) and 2015R1D1A1A01060707Â (HChK) and The work was also partly Supported by RIKEN iTHES Project