Investigating the transition form factors of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi></mml:mrow><mml:mrow><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">→</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>2625</mml:mn><mml:mo stretchy="false">)</mml:mo></…

We calculate the form factors of ${\mathrm{\ensuremath{\Lambda}}}_{b}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Lambda}}}_{c}(2625)$ and ${\mathrm{\ensuremath{\Xi}}}_{b}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Xi}}}_{c}(2815)$ transitions, additionally evaluate corresponding semileptonic decays color-allowed two-body nonleptonic decays. In order to obtain concerned factors, we use three-body light-front quark model with support from baryon spectroscopy. this work, as important physical inputs, spatial wave functions baryons are obtained by Gaussian expansion method a semirelativistic potential model. For processes, branching ratios electron muon channels can reach up magnitude 1%, where our result $\mathcal{B}({\mathrm{\ensuremath{\Lambda}}}_{b}^{0}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Lambda}}}_{c}^{+}(2625){\ensuremath{\mu}}^{\ensuremath{-}}{\ensuremath{\nu}}_{\ensuremath{\mu}})=(1.641\ifmmode\pm\else\textpm\fi{}0.113)%$ is consistent current experimental data. As for ${\ensuremath{\pi}}^{\ensuremath{-}}$, ${\ensuremath{\rho}}^{\ensuremath{-}}$, ${D}_{s}^{(*)\ensuremath{-}}$ final states have considerable widths. These discussed decay modes could be accessible at LHCb experiment.