Abstract:

The strong decay of $\Lambda _{c} (2880)^+$ in the $^3P_0 $model was investigated. The decay widths and the ratio of branchingfractions of $\Lambda _{c} (2880)^+$ were calculated. Thenumerical results showed that $\Lambda _{c} (2880)^+$ may be a2D-excited $\Lambda _{{c}2}\big(\frac{3}{2}^+\big)$ with$J^P\!=\!\frac{3}{2}^+$. $n_\rho \!=\!1$ and $l_\lambda\!=\!2$belonged to the radial $\rho $-mode excitation and the orbital$\lambda $-mode excitation, respectively. The ratio of branchingfractions was $R={\it\Gamma} (\Lambda _{c} (2880)^+\to \Sigma_{c} (2520)\pi )$/${\it\Gamma} (\Lambda _{c} (2880)^+\to\Sigma _{c} (2455)\pi )=0.16$. The total decay width was${\it\Gamma} _{total} = 18.53$ MeV. $\Lambda _{c} (2880)^+$could also be a 2D-excited $\Lambda _{{c}2}^{'}\big(\frac{3}{2}^+\big)$ with $J^P=\frac{3}{2}^+$,$n_\lambda =1$ and $l_\lambda=2$, indicating the radial $\lambda$-mode excitation and the orbital $\lambda $-mode excitation. Inthis study, ${\it\Gamma} _{total} =1.69$ MeV, and $R={\it\Gamma}(\Lambda _{c} (2880)^+\to \Sigma _{c} (2520)\pi)$/${\it\Gamma} (\Lambda _{c} (2880)^+\to \Sigma _{c}(2455)\pi )=0.10$.

Key words: $^3P_0 $ model, strong decay, decay width, ratio of branching fractions