We studied the radiative transitions between the Υ(10753), the S-D mixed state of the Υ(4S) and Υ₁(3\,³D₁), and the Xb, the heavy quark flavor symmetry counterpart of the $X(3782)$ in the bottomonium sector. The radiative transition was assumed to occur through the intermediate bottom mesons, including P-wave B₁⁽⁾ mesons as well as the S-wave B(*) ones. The consideration of the B₁⁽⁾ mesons leads to the couplings to be in S-wave, and hence enhances the contributions of the intermediate meson loops. The radiative decay width for the Υ(10753)→γ Xb is predicted to be order of 10~keV, corresponding to a branching fraction of 10⁻⁴. Based on the theoretical results, we strongly suggest to search for the Xb in the e⁺e⁻→γ Xb with Xb→ππχb1 near √s=10.754~GeV, and it is hoped that the calculations here could be tested by the future Belle II experiments.
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Liu et al. (2024) studied this question.
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