Instanton effects on the heavy-quark static potential

U. T. Yakhshiev; Hyun-Chul Kim; B. Turimov; M. M. Musakhanov; Emiko Hiyama

doi:10.1088/1674-1137/41/8/083102

Chinese Physics C> 2017, Vol. 41> Issue(8) : 083102 DOI: 10.1088/1674-1137/41/8/083102

Instanton effects on the heavy-quark static potential

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

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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.
- instanton-induced interactions ,
- heavy-quark potential ,
- quarkonia

References

[1]	S. K. Choi et al (Belle Collaboration), Phys. Rev. Lett., 91:262001 (2003)
[2]	B. Aubert et al (BaBar Collaboration), Phys. Rev. D, 71:071103 (2005)
[3]	B. Aubert et al (BaBar Collaboration), Phys. Rev. Lett., 95:142001 (2005)
[4]	K. Abe et al (Belle Collaboration), Phys. Rev. Lett., 98:082001 (2007)
[5]	S. K. Choi et al (Belle Collaboration), Phys. Rev. Lett., 100:142001 (2008)
[6]	A. Bondar et al (Belle Collaboration), Phys. Rev. Lett., 108:122001 (2012)
[7]	Z. Q. Liu et al (Belle Collaboration), Phys. Rev. Lett., 110:252002 (2013)
[8]	M. Ablikim et al (BESⅢ Collaboration), Phys. Rev. Lett., 110:252001 (2013)
[9]	M. Ablikim et al (BESⅢ Collaboration), Phys. Rev. Lett., 111:242001 (2013)
[10]	R. Aaij et al (LHCb Collaboration), Phys. Rev. Lett., 110:222001 (2013)
[11]	M. Ablikim et al (BESⅢ Collaboration), Phys. Rev. Lett., 112:022001 (2014)
[12]	R. Aaij et al (LHCb Collaboration), Phys. Rev. Lett., 112:222002 (2014)
[13]	R. Aaij et al (LHCb Collaboration), Phys. Rev. D, 92:112009 (2015)
[14]	B. Aubert et al (BaBar Collaboration), Phys. Rev. Lett., 101:071801 (2008) (Phys. Rev. Lett., 102:029901 (2009))
[15]	B. Aubert et al (BaBar Collaboration), Phys. Rev. Lett., 103:161801 (2009)
[16]	G. Bonvicini et al (CLEO Collaboration), Phys. Rev. D, 81:031104 (2010)
[17]	R. Mizuk et al (Belle Collaboration), Phys. Rev. Lett., 109:232002 (2012)
[18]	S. Dobbs, Z. Metreveli, K. K. Seth, A. Tomaradze and T. Xiao, Phys. Rev. Lett., 109:082001 (2012)
[19]	U. Tamponi et al (Belle Collaboration), Phys. Rev. Lett., 115:142001 (2015)
[20]	R. Mizuk et al (Belle Collaboration), Phys. Rev. Lett., 117:142001 (2016)
[21]	R. Aaij et al (LHCb Collaboration), Phys. Rev. Lett., 115:072001 (2015)
[22]	A. J. Bevan et al (BaBar and Belle Collaborations), Eur. Phys. J. C, 74:3026 (2014)
[23]	A. Andronic et al, Eur. Phys. J. C, 76:107 (2016)
[24]	C. Z. Yuan (BESⅢ Collaboration), Front. Phys. China, 10:101401 (2015)
[25]	C. Z. Yuan (Belle Collaboration), arXiv:1512.03281 (hep-ex)
[26]	E. S. Swanson, Phys. Rept., 429:243 (2006)
[27]	E. Eichten, S. Godfrey, H. Mahlke and J. L. Rosner, Rev. Mod. Phys., 80:1161-1193 (2008)
[28]	M. B. Voloshin, Prog. Part. Nucl. Phys., 61:455-511 (2008)
[29]	N. Brambilla et al, Eur. Phys. J. C, 71:1534 (2011)
[30]	S. L. Olsen, Front. Phys., 10:101401 (2015)
[31]	A. A. Penin, arXiv:0905.4296 (hep-ph)
[32]	S. Recksiegel and Y. Sumino, Phys. Lett. B, 578:369-375 (2004)
[33]	B. A. Kniehl, A. A. Penin, A. Pineda, V. A. Smirnov and M. Steinhauser, Phys. Rev. Lett., 92:242001 (2004) (Phys. Rev. Lett., 104:242001 (2010))
[34]	C. Patrignani, T. K. Pedlar and J. L. Rosner, Ann. Rev. Nucl. Part. Sci., 63:21-44 (2013)
[35]	E. Eichten, K. Gottfried, T. Kinoshita, J. B. Kogut, K. D. Lane and T. M. Yan, Phys. Rev. Lett., 34:369-372 (1975)
[36]	E. Eichten, K. Gottfried, T. Kinoshita, K. D. Lane and T. M. Yan, Phys. Rev. D, 17:3090-3117 (1978) (Phys. Rev. D, 21:(1980) 313)
[37]	L. Susskind, Coarse Grained Quantum Chromodynamics, in Weak and Electromagnetic Interactions at high energies:Proceedings. Edited by Roger Balian and Christopher H. Llewellyn Smith (N.Y., North-Holland, 1977)
[38]	T. Appelquist, M. Dine and I. J. Muzinich, Phys. Lett. B, 69:231-236 (1977)
[39]	T. Appelquist, M. Dine and I. J. Muzinich, Phys. Rev. D, 17:2074-2081 (1978)
[40]	W. Fischler, Nucl. Phys. B, 129:157-174 (1977)
[41]	M. Peter, Phys. Rev. Lett., 78:602-605 (1997)
[42]	M. Peter, Nucl. Phys. B, 501:471-494 (1997)
[43]	Y. Schrder, Phys. Lett. B, 447:321-326 (1999)
[44]	A. V. Smirnov, V. A. Smirnov and M. Steinhauser, Phys. Rev. Lett., 104:112002 (2010)
[45]	C. Anzai, Y. Kiyo and Y. Sumino, Phys. Rev. Lett., 104:112003 (2010)
[46]	K. G. Wilson, Phys. Rev. D, 10:2445-2459 (1974)
[47]	G. S. Bali and K. Schilling, Phys. Rev. D, 46:2636-2646 (1992)
[48]	S. P. Booth et al (UKQCD Collaboration), Phys. Lett. B, 294:385-390 (1992)
[49]	G. S. Bali, K. Schilling and A. Wachter, Phys. Rev. D, 55:5309-5324 (1997)
[50]	U. Glassner et al (SESAM Collaboration), Phys. Lett. B, 383:98-104 (1996)
[51]	G. S. Bali, K. Schilling and A. Wachter, Phys. Rev. D, 56:2566-2589 (1997)
[52]	G. S. Bali, Phys. Rept., 343:1-136 (2001)
[53]	T. Kawanai and S. Sasaki, Phys. Rev. D, 89:054507 (2014)
[54]	T. Kawanai and S. Sasaki, Phys. Rev. D, 92:094503 (2015)
[55]	A. A. Belavin, A. M. Polyakov, A. S. Schwartz and Y. S. Tyupkin, Phys. Lett. B, 59:85-87 (1975)
[56]	F. Wilczek and A. Zee, Phys. Rev. Lett., 40:83-86 (1978)
[57]	C. G. Callan, Jr., R. F. Dashen, D. J. Gross, F. Wilczek and A. Zee, Phys. Rev. D, 18:4684-4692 (1978)
[58]	E. Eichten and F. Feinberg, Phys. Rev. D, 23:2724-2744 (1981)
[59]	D. Diakonov, V. Y. Petrov and P. V. Pobylitsa, Phys. Lett. B, 226:372-376 (1989)
[60]	D. Diakonov and V. Y. Petrov, Nucl. Phys. B, 245:259-292 (1984)
[61]	D. Diakonov and V. Y. Petrov, Nucl. Phys. B, 272:457-489 (1986)
[62]	D. Diakonov, Prog. Part. Nucl. Phys., 51:173-222 (2003)
[63]	M. Fukushima, H. Suganuma, A. Tanaka, H. Toki and S. Sasaki, Nucl. Phys. Proc. Suppl., 63:513-515 (1998)
[64]	D. Chen, R. C. Brower, J. W. Negele and E. V. Shuryak, Nucl. Phys. Proc. Suppl., 73:512-514 (1999)
[65]	D. Diakonov and V. Petrov, Phys. Scripta, 61:536-543 (2000)
[66]	H. Georgi, Phys. Lett. B, 240:447-450 (1990)
[67]	T. Mannel, W. Roberts and Z. Ryzak, Nucl. Phys. B, 368:204-217 (1992)
[68]	L. L. Foldy and S. A. Wouthuysen, Phys. Rev., 78:29-36 (1950)
[69]	J. G. Krner and G. Thompson, Phys. Lett. B, 264:185-192 (1991)
[70]	P. V. Pobylitsa, Phys. Lett. B, 226:387-392 (1989)
[71]	E. V. Shuryak, Nucl. Phys. B, 203:93-115 (1982)
[72]	H. D. Son, S. i. Nam and H.-Ch. Kim, Phys. Lett. B, 747:460-467 (2015)
[73]	C. Patrignani et al (Particle Data Group), Chin. Phys. C, 40:100001 (2016)
[74]	A. Gray, I. Allison, C. T. H. Davies, E. Dalgic, G. P. Lepage, J. Shigemitsu and M. Wingate, Phys. Rev. D, 72:094507 (2005)
[75]	T. W. Chiu et al (TWQCD Collaboration), Phys. Lett. B, 651:171-176 (2007)
[76]	S. Meinel, Phys. Rev. D, 82:114502 (2010)
[77]	R. J. Dowdall et al (HPQCD Collaboration), Phys. Rev. D, 85:054509 (2012)
[78]	J. L. Richardson, Phys. Lett. B, 82:272-274 (1979)
[79]	W. Buchmuller and S. H. H. Tye, Phys. Rev. D, 24:132-156 (1981)
[80]	H.-Ch. Kim, M. M. Musakhanov and M. Siddikov, Phys. Lett. B, 633:701-709 (2006)
[81]	K. Goeke, M. M. Musakhanov and M. Siddikov, Phys. Rev. D, 76:076007 (2007)
[82]	K. Goeke, H.-Ch. Kim, M. M. Musakhanov and M. Siddikov, Phys. Rev. D, 76:116007 (2007)
[83]	M. C. Chu, J. M. Grandy, S. Huang and J. W. Negele, Phys. Rev. D, 49:6039-6051 (1994)
[84]	J. W. Negele, Nucl. Phys. Proc. Suppl., 73:92-104 (1999)
[85]	T. A. DeGrand, Phys. Rev. D, 64:094508 (2001)
[86]	P. Faccioli and T. A. DeGrand, Phys. Rev. Lett., 91:182001 (2003)
[87]	N. Brambilla, A. Pineda, J. Soto and A. Vairo, Rev. Mod. Phys., 77:1423-1496 (2005)
[88]	G.'t Hooft, Phys. Rev. D, 14:3432-3450 (1976) (Phys. Rev. D, 18:2199(1978))
[89]	E. Hiyama, Y. Kino and M. Kamimura, Prog. Part. Nucl. Phys., 51:223 (2003)

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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

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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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沈阳化工大学材料科学与工程学院沈阳 110142

Instanton effects on the heavy-quark static potential

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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

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