Instanton effects on charmonium states

Yakhshiev, Ulugbek (Department of Physics, Inha University, Incheon 22212, Republic of Korea) ; Kim, Hyun-Chul (Department of Physics, Inha University, Incheon 22212, Republic of Korea) (Advanced Science Research Center, Japan Atomic Energy Agency, Shirakata, Tokai, Ibaraki 319-1195, Japan) (School of Physics, Korea Institute for Advanced Study (KIAS), Seoul 02455, Republic of Korea) ; Hiyama, Emiko (Advanced Science Research Center, Japan Atomic Energy Agency, Shirakata, Tokai, Ibaraki 319-1195, Japan) (Department of Physics, Kyushu University, 819-0395 Fukuoka, Japan) (RIKEN Nishina Center, RIKEN, 2-1 Hirosawa, 351-0115 Saitama, Japan)

28 December 2018

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.


Published in: Physical Review D 98 (2018)
Published by: APS
DOI: 10.1103/PhysRevD.98.114036
arXiv: 1811.05608
License: CC-BY-4.0



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