Fine Splitting in Charmonium Spectrum with Channel Coupling Effect

Details Fine Splitting in Charmonium Spectrum with Channel Coupling Effect Fine Splitting in Charmonium Spectrum with Channel Coupling Effect

2010-11-29

arxiv.org/abs/1011.6124v2

Chin.Phys.C35:797-803,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

Submitted to Chinese Physics C

Scientific paper

10.1088/1674-1137/35/9/001

We study the fine splitting in charmonium spectrum in 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 the four-fermion interaction. The numerical calculation still prefers the assignment $1^{++}$ of X(3872).

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