Fine splitting in the charmonium spectrum with a channel coupling effect

YANG Chun; LI Bao-Fei; CHEN Xiao-Lin; DENG Wei-Zhen

doi:10.1088/1674-1137/35/9/001

Chinese Physics C> 2011, Vol. 35> Issue(9) : 797-803 DOI: 10.1088/1674-1137/35/9/001

Fine splitting in the charmonium spectrum with a channel coupling effect

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Abstract：
We study the fine splitting in the charmomium spectrum in the quark model with the channel coupling effect, including DD, DD^*, D^*D^* and D_sD_s, D_sD_s^*, D_s^*D_s^* channels. The interaction for channel coupling is constructed from the current-current Lagrangian related to the color confinement and the one-gluon exchange potentials. By adopting the massive gluon propagator from the lattice calculation in the nonperturbative region, the coupling interaction is further simplified to four-fermion interaction. The numerical calculation still prefers the assignment 1⁺⁺ of X(3872).

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[1]

Choi S K et al. (Belle collaboration). Phys. Rev. Lett., 2003, 91: 262001; arXiv:hep-ex/03090322 Acosta D E et al. (CDF II collaboration). Phys. Rev. Lett., 2004, 93: 072001; arXiv:hep-ex/03120213 Aubert B et al. (BABAR collaboration). Phys. Rev. D, 2005, 71: 071103; arXiv:hep-ex/04060224 Amsler C et al. (Particle Data Group). Phys. Lett. B, 2008, 667: 15 Eichten E J, Lane K, Quigg C. Phys. Rev. D, 2004, 69: 094019; arXiv:hep-ph/04012106 Barnes T. J. Phys. Conf. Ser., 2005, 9: 127{131; arXiv:hep-ph/04120577 Kalashnikova Y S. Phys. Rev. D, 2005, 72: 034010; arXiv: hep-ph/05062708 LI B Q, MENG C, CHAO K T. Phys. Rev. D, 2009, 80: 014012; arXiv:0904.4068 [hep-ph]9 Bugg D V. Phys. Lett. B, 2004, 598: 8{14; arXiv:hep- ph/040629310 Danilkin I V, Simonov Y A. Phys. Rev. Lett., 2010, 105: 102002; arXiv:1006.0211 [hep-ph]11 Coito S, Rupp G, van Beveren E. arXiv: 1008.5100 [hep-ph]12 del Amo Sanchez P et al. (BABAR collaboration). Phys. Rev. D, 2010, 82: 011101; arXiv:1005.5190 [hep-ex]13 Barnes T, Godfrey S. Phys. Rev. D, 2004, 69: 054008; arXiv:hep-ph/031116214 Le Yaouanc A, Oliver L, Pene O, Raynal J C. Phys. Rev. D, 1973, 8: 2223-223415 Micu L. Nucl. Phys. B, 1969, 10: 521-52616 Eichten E, Gottfried K, Kinoshita T, Lane K D, Yan T M. Phys. Rev. D, 1980, 21: 20317 Eichten E, Gottfried K, Kinoshita T, Lane K D, Yan T M. Phys. Rev. D, 1978, 17: 309018 Ackleh E S, Barnes T, Swanson E S. Phys. Rev. D, 1996, 54: 6811{6829; arXiv:hep-ph/960435519 Leinweber D B, Skullerud J I, Williams A G, Parrinello C (UKQCD collaboration). Phys. Rev. D, 1999, 60: 094507; arXiv:hep-lat/981102720 Oliveira O, Silva P J. PoS, 2009, QCD-TNT09: 033; arXiv:0911.1643 [hep-lat]21 Silva P J, Oliveira O. Nucl. Phys. B, 2004, 690: 177{198; arXiv:hep-lat/040302622 Forshaw J R, Papavassiliou J, Parrinello C. Phys. Rev. D, 1999, 59: 074008; arXiv:hep-ph/980839223 Field J H. Phys. Rev. D, 2002, 66: 013013; arXiv:hep-ph/010115824 Godfrey S, Isgur N. Phys. Rev. D, 1985, 32: 189-231

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YANG Chun, LI Bao-Fei, CHEN Xiao-Lin and DENG Wei-Zhen. Fine splitting in the charmonium spectrum with a channel coupling effect[J]. Chinese Physics C, 2011, 35(9): 797-803. doi: 10.1088/1674-1137/35/9/001

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Received: 2010-11-30
Revised: 2010-12-07

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Fine splitting in the charmonium spectrum with a channel coupling effect

Corresponding author: DENG Wei-Zhen,

Received Date: 2010-11-30

Accepted Date: 2010-12-07

Available Online: 2011-09-05

Abstract: We study the fine splitting in the charmomium spectrum in the quark model with the channel coupling effect, including DD, DD^*, D^*D^* and D_sD_s, D_sD_s^*, D_s^*D_s^* channels. The interaction for channel coupling is constructed from the current-current Lagrangian related to the color confinement and the one-gluon exchange potentials. By adopting the massive gluon propagator from the lattice calculation in the nonperturbative region, the coupling interaction is further simplified to four-fermion interaction. The numerical calculation still prefers the assignment 1⁺⁺ of X(3872).

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Fine splitting in the charmonium spectrum with a channel coupling effect

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