Y(4626) as a molecular state from interaction Ds∗Dˉs1(2536)−DsDˉs1(2536){D}^*_s\bar{D}_{s1}(2536)-{D}_s\bar{D}_{s1}(2536)

preprint2020arXivOpen access

Abstract

Recently, a new structure Y(4626)Y(4626) was reported by the Belle Colloboration in the process e+e−→Ds+Ds1(2536)−e^+e^-\to D_s^+D_{s1}(2536)^-. In this work, we propose an assignment of the Y(4626)Y(4626) as a Ds∗Dˉs1(2536){D}^*_s\bar{D}_{s1}(2536) molecular state, which decays into the Ds+Ds1(2536)−D_s^+D_{s1}(2536)^- channel through a coupling between Ds∗Dˉs1(2536){D}^*_s\bar{D}_{s1}(2536) and DsDˉs1(2536){D}_s\bar{D}_{s1}(2536) channels. With the help of the heavy quark symmetry, the potential of the interaction Ds∗Dˉs1(2536)−DsDˉs1(2536){D}^*_s\bar{D}_{s1}(2536)-{D}_s\bar{D}_{s1}(2536) is constructed within the one-boson-exchange model, and inserted into the quasipotential Bethe-Salpeter equation. The pole of obtained scattering amplitude is searched for in the complex plane, which corresponds to a molecular state from the interaction Ds∗Dˉs1(2536)−DsDˉs1(2536){D}^*_s\bar{D}_{s1}(2536)-{D}_s\bar{D}_{s1}(2536). The results suggest that a pole is produced near the Ds∗Dˉs1(2536){D}^*_s\bar{D}_{s1}(2536) threshold, which exhibits as a peak in the invariant mass spectrum of the DsDˉs1(2536){D}_s\bar{D}_{s1}(2536) channel at about 4626 MeV. It obviously favors the Y(4265)Y(4265) as a Ds∗Dˉs1(2536){D}^*_s\bar{D}_{s1}(2536) molecular state. In the same model, other molecular states from the interaction Ds∗Dˉs1(2536)−DsDˉs1(2536){D}^*_s\bar{D}_{s1}(2536)-{D}_s\bar{D}_{s1}(2536) are also predicted, which can be checked in future experiments.

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