Study on radiative decays of $D_{sJ}^{\ast }(2860)$ and $D_{s1}^{\ast }(2710)$ into $D_s$ by means of LFQM

Abstract

The observed resonance peak around 2.86 GeV has been carefully reexamined by the LHCb collaboration and it is found that under the peak there reside two states $D_{s1}^{\ast }(2860)$ and $D_{s3}^{\ast }(2860)$ which are considered as $1^3{D}_1(c\bar{s})$ and $1^3{D}_3(c\bar{s})$ with slightly different masses and total widths. Thus, the earlier assumption that the resonance $D_{s1}^{\ast }(2710)$ was a $1D$ state should not be right. We suggest to measure the partial widths of radiative decays of $D_{sJ}^{\ast }(2860)$ and $D_{s1}^{\ast }(2710)$ to confirm their quantum numbers. We would consider $D_{s1}^{\ast }(2710)$ as $2^3{S}_1$ or a pure $1^3{D}_1$ state, or their mixture and respectively calculate the corresponding branching ratios as well as those of $D_{sJ}^{\ast }(2860)$. The future precise measurement would provide us information to help identifying the structures of those resonances .

8 pages, 4 figures, 1 table

References in corpus (10)

• Big-Bang Nucleosynthesis
• Decay constants and radiative decays of heavy mesons in light-front quark model
• $D_{sJ}(2860)$ and $D_{sJ}(2715)$
• Canonical Interpretation of the D_{sJ}(2860) and D_{sJ}(2690)
• Covariant light-front approach for heavy quarkonium: decay constants, P \to γγand V \to P γ
• ${\Sigma }_b\to {\Sigma }_c$ and ${\Omega }_b\to {\Omega }_c$ weak decays in the light-front quark model
• Interpretation of the "$f_{D_s}$ puzzle" in SM and beyond
• Re-Study on the wave functions of ${\rm Y}(nS)$ states in LFQM and the radiative decays of ${\rm Y}(nS)\to {\eta }_b+\gamma$
• The D-wave heavy-light mesons from QCD sum rules
• $D_{s3}^{\ast }(2860)$ and $D_{s1}^{\ast }(2860)$ as the 1D $c\bar{s}$ states

Cited by in corpus (2)

• Charmed-strange Meson Spectrum: Old and New Problems
• Electric transitions of the charmed-strange mesons in a relativistic quark model