Phenomenological study on the decay widths of Υ(nS)→d~*(2380)+X

The decay widths of Υ(nS)→d~*(2380)+X with n=1,2,3 are studied in a phenomenological way. With the help of crossing symmetry, the decay widths are obtained by investigating the imaginary part of the forward scattering amplitudes between d~* and Υ(nS). The wave functions of d~* and deuteron obtained in previous studies are used for calculating the amplitude. The interaction between d~*(d) and Υ is governed by the quark-meson interaction, where the coupling constant is determined by fitting the observed widths of Υ(nS)→d+X. The numerical results show that the decay widths of Υ(nS)→d~*+X are about 2-10 times smaller than that of d+X. The calculated momentum of d~* is in the range 0.3-0.8 GeV. Therefore, it is very likely that one can find d~*(2380) in these semi-inclusive decay processes.