In this work, we calculated the form factors of the weak decay process Λb0→Λc(2595)+, where the final charm baryon represents an excited state with spin-parity 12-. Utilizing the light-cone QCD sum rules approach, we incorporated the contributions of the lowest two charm baryon states: the ground state Λc with JP=12+ and the excited state Λc(2595)+ with JP=12- in the hadronic representation of the Λb→Λc(2595)+ transition correlation function. This approach allows us to extract the form factors of the Λb0→Λc(2595)+ from Λb0→Λc+ transition. During the light-cone QCD sum rules procedure, we employed the light-cone distribution amplitudes (LCDAs) of the Λb baryon. Furthermore, by combining these form factors with the helicity amplitudes of the bottom baryon transition matrix elements, we calculated the differential decay widths for the processes Λb0→Λc(2595)+ℓ-ν¯ℓ and provided the optimal choice of the interpolating current for Λc in this process. Additionally, within the lifetime of Λb0, we obtained the absolute branching fractions for the semileptonic decays Λb0→Λc(2595)+ℓ-ν¯ℓ. With the branching fractions of Λb0→Λc(2595)+ℓ-ν¯ℓ calculated in this work, we also determined the parameter R(Λc(2595)+) which tests the lepton flavor universality. This parameter is defined as the ratio of branching fractions Br(Λb0→Λc(2595)+τ-ν¯τ) and Br(Λb0→Λc(2595)+μ-ν¯μ). Our results provide a valuable theoretical test for these decay channels and offer insights into the LCDAs of bottom baryons, paving the way for further in-depth investigations.
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