Regular Article - Theoretical Physics
Is Z c (3900) a molecular state?
School of Science, Tianjin University, Tianjin, 300072, China
2 School of Physics, Nankai University, Tianjin, 300071, China
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Revised: 14 August 2013
Published online: 2 October 2013
Assuming the newly observed Z c (3900) to be a molecular state of , we calculate the partial widths of Z c (3900)→J/ψ+π; ψ′+π; η c +ρ and within the light-front model (LFM). Z c (3900)→J/ψ+π is the channel by which Z c (3900) was observed, our calculation indicates that it is indeed one of the dominant modes whose width can be in the range of a few MeV depending on the model parameters. Similar to Z b and , Voloshin suggested that there should be a resonance at 4030 MeV, which can be a molecular state of . Then we go on calculating its decay rates to all the aforementioned final states and the as well. It is found that if Z c (3900) is a molecular state of , the partial width of is rather small, but the rate of Z c (3900)→ψ(2s)π is even larger than Z c (3900)→J/ψπ. The implications are discussed and it is indicated that with the luminosity of BES and BELLE, the experiments may finally determine if Z c (3900) is a molecular state or a tetraquark.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013