Is $D^{+}_{sJ}(2632)$ the first radial excitation of $D_{s}^{*}(2112)$?
| dc.creator | Chang, Chao-Hsi | |
| dc.creator | Kim, C. S. | |
| dc.creator | Wang, Guo-Li | |
| dc.date | 2005-05-24 | |
| dc.date | 2005-09-22 | |
| dc.date.accessioned | 2026-07-07T10:29:31Z | |
| dc.date.available | 2026-07-07T10:29:31Z | |
| dc.description | 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 $2658\pm 15$ MeV for the first excited state, which is about 26 MeV heavier than the experimental value $2632\pm 1.7$ MeV. By means of PCAC and low-energy theorem we calculate the transition matrix elements and obtain the decay widths: $Γ(D^{+}_{sJ}\to D^{+}_sη)=4.07\pm 0.34$ MeV, $Γ(D^{+}_{sJ}\to D^{0}K^{+}) \simeq Γ(Γ(D^{+}_{sJ}\to D^{+}K^{0})=8.9\pm 1.2$ MeV, and the ratio $Γ(D^{+}_{sJ}\to D^{0}K^{+})/Γ(D^{+}_{sJ}\to D^{+}_{s}η)=2.2\pm 0.2$ as well. This ratio is quite different from the SELEX data $0.14\pm 0.06$. The summed decay width of those three channels is approximately 21.7 MeV, already larger than the observed bound for the full width ($\leq 17$ 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. | |
| dc.description | 12 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0505205 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0505205 | |
| dc.identifier | Phys.Lett.B623:218-226,2005 | |
| dc.identifier | doi:10.1016/j.physletb.2005.07.059 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/177829 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Is $D^{+}_{sJ}(2632)$ the first radial excitation of $D_{s}^{*}(2112)$? | |
| dc.type | text |