Production of excited ${\mathrm{\Lambda }}_c^{+}$ baryons through ${\mathrm{\Lambda }}_b$ hadronic weak decays

In this work, to establish a more abundant ${\mathrm{\Lambda }}_c$ baryon spectrum, we discuss the production potentials of the excited ${\mathrm{\Lambda }}_c$ baryons through ${\mathrm{\Lambda }}_b$ hadronic weak decays within a constituent quark model. Based on our successful explanations of the existing experimental data for the ${\mathrm{\Lambda }}_b\to {\mathrm{\Lambda }}_c({\pi }^{-},K^{-},D^{-},D_s^{-},D_s^{\ast -})$ processes, we further calculate the decay rates of the ${\mathrm{\Lambda }}_b$ baryon into the $1P$-, $1D$-, $2S$-, $3S$-, $2P$-, $1F$-, and $2D$-wave ${\mathrm{\Lambda }}_c$ excited states. It is found that these ${\mathrm{\Lambda }}_c$ excitations have a large production rate in the ${\mathrm{\Lambda }}_b$ hadronic weak decay process associated ${\pi }^{-}$ meson emitting, i.e., ${\mathrm{\Lambda }}_b\to {\mathrm{\Lambda }}_c^{\ast }{\pi }^{-}$, their branching fractions can reach up to $\mathcal{O}({10}^{-3})$. To search for the higher $3S$-, $2P$-, $1F$-, and $2D$-wave ${\mathrm{\Lambda }}_c$ states, the ${\mathrm{\Lambda }}_b\to {\mathrm{\Lambda }}_c(3S){\pi }^{-}\to D^{\ast 0}p{\pi }^{-}$, and ${\mathrm{\Lambda }}_b\to {\mathrm{\Lambda }}_c(2P,2D,1F){\pi }^{-}\to D^{(\ast )0}p{\pi }^{-}$ decays are worth observing in future experiments.