Instanton effects on the heavy-quark static potential

  • 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.
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U. T. Yakhshiev, Hyun-Chul Kim, B. Turimov, M. M. Musakhanov and Emiko Hiyama. Instanton effects on the heavy-quark static potential[J]. Chinese Physics C, 2017, 41(8): 083102. doi: 10.1088/1674-1137/41/8/083102
U. T. Yakhshiev, Hyun-Chul Kim, B. Turimov, M. M. Musakhanov and Emiko Hiyama. Instanton effects on the heavy-quark static potential[J]. Chinese Physics C, 2017, 41(8): 083102.  doi: 10.1088/1674-1137/41/8/083102 shu
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Received: 2017-01-17
Revised: 2017-04-16
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    Supported 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 Numbers 2016R1D1A1B03935053(UY) and 2015R1D1A1A01060707(HChK) and The work was also partly Supported by RIKEN iTHES Project

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Instanton effects on the heavy-quark static potential

    Corresponding author: Hyun-Chul Kim, yakhshiev@inha.ac.kr
    Corresponding author: Emiko Hiyama, yakhshiev@inha.ac.kr
  • 1. Department of Physics, Inha University, Incheon 22212, Republic of Korea
  • 2. RIKEN Nishina Center, RIKEN, 2-1 Hirosawa, 351-0115 Saitama, Japan
  • 3. School of Physics, Korea Institute for Advanced Study(KIAS), Seoul 02455, Republic of Korea
  • 4.  Department of Physics, Inha University, Incheon 22212, Republic of Korea
  • 5.  Theoretical Physics Department, National University of Uzbekistan, Tashkent-174, Uzbekistan
  • 6.  RIKEN Nishina Center, RIKEN, 2-1 Hirosawa, 351-0115 Saitama, Japan
Fund Project:  Supported 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 Numbers 2016R1D1A1B03935053(UY) and 2015R1D1A1A01060707(HChK) and The work was also partly Supported by RIKEN iTHES Project

Abstract: 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.

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