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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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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