Interpretation of Y(4390) as an isoscalar partner of Z(4430) from ${D^{*}}(2010){\bar{D}}_1(2420)$ interaction

The European Physical Journal C, Jun 2017

Invoked by the recent observation of Y(4390) at BESIII, which is about 40 MeV below the ${D^{*}}(2010){\bar{D}}_1(2420)$ threshold, we investigate possible bound and resonance states from the ${D^{*}}(2010){\bar{D}}_1(2420)$ interaction with the one-boson-exchange model in a quasipotential Bethe–Salpeter equation approach. A bound state with quantum number $0^-(1^{-\,-})$ is produced at 4384 MeV from the ${D^{*}}(2010){\bar{D}}_1(2420)$ interaction, which can be related to experimentally observed Y(4390). Another state with quantum number $1^+(1^{+})$ is also produced at $4461+i39$ MeV from this interaction. Different from the $0^-(1^{-\,-})$ state, the $1^+(1^{+})$ state is a resonance state above the ${D^{*}}(2010){\bar{D}}_1(2420)$ 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 ${D^{*}}(2010){\bar{D}}_1(2420)$ interaction.

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Jun He, Dian-Yong Chen. Interpretation of Y(4390) as an isoscalar partner of Z(4430) from ${D^{*}}(2010){\bar{D}}_1(2420)$ interaction, The European Physical Journal C, 2017, 398, DOI: 10.1140/epjc/s10052-017-4973-8