https://doi.org/10.1140/epjc/s10052-013-2561-0
Regular Article - Theoretical Physics
Is Z c (3900) a molecular state?
1
School of Science, Tianjin University, Tianjin, 300072, China
2
School of Physics, Nankai University, Tianjin, 300071, China
* e-mail: khw020056@hotmail.com
Received:
23
July
2013
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
