  The strong decay widths and some important branching ratios of possible
Okubo-Zweig-Iizuka(OZI)-allowed strong decay channels of $\Lambda_c(2595)^+$,
$\Lambda_c(2625)^+$, $\Lambda_c(2765)^+$ ($\Sigma_c(2765)^+$),
$\Lambda_c(2860)^+$, $\Lambda_c(2880)^+$ and $\Lambda_c(2940)^+$ are computed
in a $^{3}P_{0}$ model, and possible assignments of these $\Lambda_c$ are
given. (1), $\Lambda_c(2595)^+$ and $\Lambda_c(2625)^+$ are possibly the
$1P$-wave charmed baryons $\Lambda_{c1}(\frac{1}{2}^-)$ and
$\Lambda_{c1}(\frac{3}{2}^-)$, respectively. (2), $\Lambda_c(2765)^+$
($\Sigma_c(2765)^+$) seems impossibly the $1P$-wave $\Lambda_{c}$, it could be
the $2S$-wave or $1D$-wave charmed baryon. So far, the experimental information
has not been sufficient for its identification. (3), $\Lambda_c(2860)^+$ seems
impossibly $2S$-wave charmed baryon, it may be the $P$-wave
$\tilde\Lambda_{c2}^{ }(\frac{3}{2}^-)$ or $\tilde\Lambda_{c2}^{
}(\frac{5}{2}^-)$, it could also be the $D$-wave
$\check\Lambda_{c1}^{2}(\frac{1}{2}^+)$ or
$\check\Lambda_{c1}^{2}(\frac{3}{2}^+)$. If the hypothesis that
$\Lambda_c(2860)^+$ has $J^P={3\over 2}^+$ is true, $\Lambda_c(2860)^+$ is
possibly the $D$-wave $\check\Lambda_{c1}^{2}(\frac{3}{2}^+)$ which has a
predicted branching ratio
$R=\Gamma(\Sigma_c(2520)\pi)/\Gamma(\Sigma_c(2455)\pi)=2.8$. (4),
$\Lambda_c(2880)^+$ is impossibly a $1P$-wave or $2S$-wave charmed baryon, it
may be a $D$-wave $\check\Lambda_{c3}^{2}(\frac{5}{2}^+)$ with
$\Gamma_{total}=1.3$ MeV. The predicted branching ratio
$R=\Gamma(\Sigma_c(2520)\pi)/\Gamma(\Sigma_c(2455)\pi)=0.35$, which is
consistent with experiment. (5), $\Lambda_c(2940)^+$ is the $P$-wave
$\tilde\Lambda_{c2}^{ }(\frac{3}{2}^-)$ or $\tilde\Lambda_{c2}^{
}(\frac{5}{2}^-)$, it is also possibly the $D$-wave
$\check\Lambda_{c3}^{2}(\frac{5}{2}^+)$ or
$\check\Lambda_{c3}^{2}(\frac{7}{2}^+)$.
