### Abstract

We present a quantitative analysis of the D_{sJ}^{+}(2632) observed by SELEX mainly focusing on the assumption that D_{sJ} ^{+}(2632) is the first radial excitation of the 1^{-} ground state D_{s}*(2112). By solving the instantaneous Bethe-Salpeter equation, we obtain the mass 2658±15 MeV for the first excited state, which is about 26 MeV heavier than the experimental value 2632±1.7 MeV. By means of PCAC and low-energy theorem we calculate the transition matrix elements and obtain the decay widths: Γ(D_{sJ}^{+}→ D_{s}^{+}η)=4.07±0.34 MeV, Γ(D _{sJ}^{+}→D^{0}K^{+}) ≃Γ(Γ(D_{sJ}^{+}→D^{+}K ^{0})=8.9±1.2 MeV, and the ratio Γ(D_{sJ} ^{+}→D^{0}K^{+})/Γ(D_{sJ} ^{+}→D_{s}^{+}η)=2.2±0.2 as well. This ratio is quite different from the SELEX data 0.14±0.06. The summed decay width of those three channels is approximately 21.7 MeV, already larger than the observed bound for the full width (≤17 MeV). Furthermore, assuming D _{sJ}^{+}(2632) is 1^{-} state, we also explore the possibility of S-D wave mixing to explain the SELEX observation. Based on our analysis, we suspect that it is too early to conclude that D_{sJ} ^{+}(2632) is the first radial excitation of the 1^{-} ground state D_{s}*(2112). More precise measurements of the relative ratios and the total decay width are urgently required, especially for S-D wave mixing.

Original language | English |
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Pages (from-to) | 218-226 |

Number of pages | 9 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 623 |

Issue number | 3-4 |

DOIs | |

Publication status | Published - 2005 Sep 15 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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## Cite this

_{sJ}

^{+}(2632) the first radial excitation of D

_{s}*(2112)?

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*623*(3-4), 218-226. https://doi.org/10.1016/j.physletb.2005.07.059