  In this article, we study the ground states and the first radial excited
states of the flavor antitriplet heavy baryon states $\Lambda_Q$ and $\Xi_Q$
with the spin-parity $J^P={1\over 2}^{+}$ by carrying out the operator product
expansion up to the vacuum condensates of dimension $10$ in a consistent way.
We observe that the higher dimensional vacuum condensates play an important
role, and obtain very stable QCD sum rules with variations of the Borel
parameters for the heavy baryon states for the first time. The predicted masses
$6.08\pm0.09\,\rm{GeV}$, $2.78\pm0.08\,\rm{GeV}$ and $2.96\pm0.09\,\rm{GeV}$
for the first radial excited states $\Lambda_b(\rm 2S)$, $\Lambda_c(\rm 2S)$
and $\Xi_c(\rm 2S)$ respectively are in excellent agreement with the
experimental data and support assigning the $\Lambda_b(6072)$,
$\Lambda_c(2765)$ and $\Xi_c(2980/2970)$ to be the first radial excited states
of the $\Lambda_b$, $\Lambda_c$ and $\Xi_c$, respectively, the predicted mass
$6.24\pm0.07\,\rm{GeV}$ for the $\Xi_b(\rm 2S)$ can be confronted to the
experimental data in the future.

High Energy Physics - Phenomenology