Paper detail

Nature of charmed strange baryons $Ξ_c(3055)$ and $Ξ_c(3080)$

The hadronic decay widths and some ratios of branching fractions of the newly observed charmed strange baryons, $Ξ_c(3055)^0$, $Ξ_c(3055)^+$ and $Ξ_c(3080)^+$ are calculated in a $^3P_0$ model. In the calculation, they are considered as $34$ kinds of $D-wave$ charmed strange baryons. Among these assignments, $Ξ_c(3055)^+$ is very possibly a $J^P={5\over 2}^+$ $\hatΞ_{c3}^\prime(\frac{5}{2}^+)$ or $\checkΞ_{c3}^2(\frac{5}{2}^+)$, where $Ξ_c(3055)^+$ has the total decay width $Γ=10.1$ MeV and $Γ=7.6$ MeV. The predicted ratios $Γ(Ξ_c(3055)^+ \to ΛD^+ )/ Γ(Ξ_c(3055)^+ \to Σ_c^{++}K^-)=3.39$. $Ξ_c(3055)^+$ is also very possibly a $J^P={7\over 2}^+$ $\hatΞ_{c3}^\prime(\frac{7}{2}^+)$ or $\checkΞ_{c3}^2(\frac{7}{2}^+)$. In these two assignments, $Ξ_c(3055)^+$ has the total decay width $Γ=9.7$ MeV and $Γ=6.3$ MeV. The predicted ratios $Γ(Ξ_c(3055)^+ \to ΛD^+ )/ Γ(Ξ_c(3055)^+ \to Σ_c^{++}K^-)=5.91~\rm{or}~6.04$. As a isospin partner of $Ξ_c(3055)^+$, $Ξ_c(3055)^0$ is also very possibly a $J^P={5\over 2}^+$ $\hatΞ_{c3}^\prime(\frac{5}{2}^+)$ or $\checkΞ_{c3}^2(\frac{5}{2}^+)$, where $Ξ_c(3055)^0$ has the total decay width $Γ=10.9$ MeV and $Γ=7.0$ MeV. The predicted ratios $Γ(Ξ_c(3055)^0 \to ΛD^0 )/ Γ(Ξ_c(3055)^0 \to Σ_c^{+}K^-)=4.24~\rm{or}~4.20$. $Ξ_c(3055)^0$ is also very possibly a $J^P={7\over 2}^+$ $\hatΞ_{c3}^\prime(\frac{7}{2}^+)$ or $\checkΞ_{c3}^2(\frac{7}{2}^+)$. In these assignments, $Ξ_c(3055)^0$ has the total decay width $Γ=10.3$ MeV and $Γ=7.1$ MeV. The predicted ratios $Γ(Ξ_c(3055)^0 \to ΛD^0 )/ Γ(Ξ_c(3055)^0 \to Σ_c^{+}K^-)=7.47~\rm{or}~7.56$. The results agree well with recent experimental data from Belle. $Ξ_c(3080)^+$ seems impossible to be identified with a D-wave charmed strange baryon.