Fine splitting in the charmonium spectrum with a channel coupling effect

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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
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 shu
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Received: 2010-11-30
Revised: 2010-12-07
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Fine splitting in the charmonium spectrum with a channel coupling effect

    Corresponding author: DENG Wei-Zhen,

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 DsDs, DsDs*, Ds*Ds* 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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