@article{fb0c97a94aa448a697eac6e3c6025eed,
title = "Instanton effects on charmonium states",
abstract = "The instanton effects on the charmonium spectrum are discussed in the framework of the nonrelativistic potential model. The results from the constituent quark model without inclusion of instanton effects are compared with the results for the potential from the constituent quark model plus the contribution from the instanton liquid model. We consider two models with the corresponding instanton potentials and discuss their relevance to explanations of the origin of phenomenological parameters used in the nonrelativistic potential models. We also present the universal instanton potential in a parametrized form, which can be useful in practical calculations.",
author = "Ulugbek Yakhshiev and Kim, {Hyun Chul} and Emiko Hiyama",
note = "Funding Information: H.-Ch.K. wants to express his gratitude to the members of the Advanced Science Research Center (ASRC) at the Japan Atomic Energy Agency (JAEA) for the hospitality, where part of the present work was done. This work is supported by the Basic Science Research Program through the National Research Foundation (NRF) of Korea funded by the Korean government (Ministry of Education, Science and Technology, MEST), Grants No. 2016R1D1A1B03935053 (U.Y.), No. 2018R1A2B2001752 (H.-Ch.K.), and No. 2018R1A5A1025563 (H.-Ch.K.). The work was also partly supported by the RIKEN iTHES Project. Funding Information: We are grateful to P. Gubler, A. Hosaka, T. Maruyama, M. Oka, and M. Musakhanov for useful discussions. H.-Ch. K. wants to express his gratitude to the members of the Advanced Science Research Center (ASRC) at the Japan Atomic Energy Agency (JAEA) for the hospitality, where part of the present work was done. This work is supported by the Basic Science Research Program through the National Research Foundation (NRF) of Korea funded by the Korean government (Ministry of Education, Science and Technology, MEST), Grants No. 2016R1D1A1B03935053 (U. Y.), No. 2018R1A2B2001752 (H.-Ch. K.), and No. 2018R1A5A1025563 (H.-Ch. K.). The work was also partly supported by the RIKEN iTHES Project. Publisher Copyright: {\textcopyright} 2018 authors. Published by the American Physical Society.",
year = "2018",
month = dec,
day = "1",
doi = "10.1103/PhysRevD.98.114036",
language = "English",
volume = "98",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "11",
}