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

Abstract
HTML
Reference
Related

PDF

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).

References

[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

[1]	Tian-Lu Chen , Wei Liu , Qi Gao , Mao-Yuan Liu , Hai-Jin Li , Danzengluobu , Ying Shi . Cosmic ray electron spectrum due to the dispersion ofinjection spectrum. Chinese Physics C, 2018, 42(7): 075001. doi: 10.1088/1674-1137/42/7/075001
[2]	Virendrasinh Kher , Ajay Kumar Rai . Spectroscopy and decay properties of charmonium. Chinese Physics C, 2018, 42(8): 083101. doi: 10.1088/1674-1137/42/8/083101
[3]	Shi-Tao Ji , Xiao-Ming Xu . Charmonium dissociation in collisions with φ mesons in hadronic matter. Chinese Physics C, 2017, 41(2): 024101. doi: 10.1088/1674-1137/41/2/024101
[4]	Ya-Fei Guo , Peng-Hui Chen , Fei Niu , Hong-Fei Zhang , Gen-Ming Jin , Zhao-Qing Feng . Isospin splitting of nucleon effective mass and symmetry energy in isotopic nuclear reactions. Chinese Physics C, 2017, 41(10): 104104. doi: 10.1088/1674-1137/41/10/104104
[5]	HUANG Jin-Shu , SUN Jun-Feng , LU Gong-Ru , LI Hai-Bo . Properties of the coupling constants of J/ψ→VP decays. Chinese Physics C, 2013, 37(7): 073103. doi: 10.1088/1674-1137/37/7/073103
[6]	Eef van , George Rupp . Evidence for further charmonium vector resonances. Chinese Physics C, 2011, 35(4): 319-324. doi: 10.1088/1674-1137/35/4/001
[7]	FU Zi-Wen , Carleton DeTar . Scalar meson spectroscopy with a fine lattice. Chinese Physics C, 2011, 35(10): 896-901. doi: 10.1088/1674-1137/35/10/002
[8]	XIAO Chen , YUAN You-Jin , HE Yuan , LIU Yong , XIA Jia-Wen . PIC mode simulation of solenoid collimation channel. Chinese Physics C, 2010, 34(8): 1136-1139. doi: 10.1088/1674-1137/34/8/019
[9]	ZHANG Yuan-Jiang , LI Gang , ZHAO Qiang . Manifestation of intermediate meson loop effects in charmonium decays. Chinese Physics C, 2010, 34(9): 1181-1184. doi: 10.1088/1674-1137/34/9/006
[10]	LI Bai-Qing , LI Rong , HE Zhi-Guo . η_b decay into charmonium in association with cc pair. Chinese Physics C, 2010, 34(5): 521-527. doi: 10.1088/1674-1137/34/5/001
[11]	M. Nielsen . New exotic charmonium states. Chinese Physics C, 2010, 34(9): 1157-1162. doi: 10.1088/1674-1137/34/9/002
[12]	PING Rong-Gang (for BES collaboration) . Charmonium results from BES. Chinese Physics C, 2010, 34(6): 626-631. doi: 10.1088/1674-1137/34/6/003
[13]	SONG Chun-Yan , YAO Jiang-Ming . Polarization effect on the spin symmetry for anti-Lambda spectrum in ¹⁶O+Λ system. Chinese Physics C, 2010, 34(9): 1425-1427. doi: 10.1088/1674-1137/34/9/061
[14]	PING Rong-Gang . On η_c line shape in charmonium transitions. Chinese Physics C, 2009, 33(8): 617-621. doi: 10.1088/1674-1137/33/8/003
[15]	LI Xiu-Rong , YUAN Chang-Zheng . Study of K^*(892) mass and width splitting caused by model difference. Chinese Physics C, 2009, 33(5): 321-326. doi: 10.1088/1674-1137/33/5/001
[16]	LIU Ying , WU Xiao-Guang , ZHU Li-Hua , LI Guang-Sheng , HE Chuang-Ye , LI Xue-Qin , PAN Bo , HAO Xin , LI Li-Hua , WANG Zhi-Min , LI Zhong-Yu , XU Qiang . Signature splitting in ¹²⁹Ce. Chinese Physics C, 2009, 33(S1): 212-214. doi: 10.1088/1674-1137/33/S1/068
[17]	GAO Dao-Neng , YAN Mu-Lin . A note on the mass splitting of K^*(892). Chinese Physics C, 2008, 32(11): 862-864. doi: 10.1088/1674-1137/32/11/002
[18]	ZHANG Fang , ZUO Wei , CHEN Ji-Yan , ZHOU Zhen-Xiao . Effect of entrance-channel asymmetry on the isospin dependence of nucleon emission in heavy ion collisions. Chinese Physics C, 2008, 32(7): 561-564. doi: 10.1088/1674-1137/32/7/010
[19]	Dai Lianrong , Shen Pengnian , Zhang Zongye , Yu Youwen . Study of the (N)Channel Coupling Effect in Quark Model. Chinese Physics C, 1998, 22(2): 141-147.
[20]	Chen Hong , Zhang Zongye . Nonperturbative Effect of Nonstrange Baryon Spectrum. Chinese Physics C, 1996, 20(S4): 379-386.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2528)
PDF Downloads(554)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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).

HTML

Reference (1)

Fine splitting in the charmonium spectrum with a channel coupling effect

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article