https://doi.org/10.1140/epjc/s10052-017-4973-8
Regular Article - Theoretical Physics
Interpretation of Y(4390) as an isoscalar partner of Z(4430) from 
interaction
1
Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing, 210097, China
2
School of Physics, Southeast University, Nanjing, 210094, China
* e-mail: jun.he.1979@icloud.com
Received:
2
May
2017
Accepted:
2
June
2017
Published online:
14
June
2017
Invoked by the recent observation of Y(4390) at BESIII, which is about 40 MeV below the threshold, we investigate possible bound and resonance states from the interaction with the one-boson-exchange model in a quasipotential Bethe–Salpeter equation approach. A bound state with quantum number 
is produced at 4384 MeV from the interaction, which can be related to experimentally observed Y(4390). Another state with quantum number 
is also produced at 
MeV from this interaction. Different from the state, the state is a resonance state above the threshold. This resonance state can be related to the first observed charged charmonium-like state Z(4430), which has a mass about 4475 MeV measured above the threshold as observed at Belle and LHCb. Our result suggests that Y(4390) is an isoscalar partner of the Z(4430) as a hadronic-molecular state from the interaction.
© The Author(s), 2017
