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In this work, we calculated the form factors of the weak decay process b⁰ c (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 c with JP=12^+ and the excited state c (2595) ^+ with JP=12^- in the hadronic representation of the b to c (2595) transition correlation function. This approach allowes us to extract the form factors of the b⁰ c (2595) ^+ from b⁰ c^+ transition. During the light-cone QCD sum rules procedure, we employed the light-cone distribution amplitudes (LCDAs) of the b 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 b⁰ c (2595) ^+^-_. Additionally, within the lifetime of b⁰, we obtained the absolute branching fractions for the semileptonic decays b⁰ c (2595) ^+ ^- _. With the branching fractions of b⁰ c (2595) ^+ ^- _ calculated in this work, we also determined the parameter R (c (2595) ^+) which tests the lepton flavor universality. This parameter is defined as the ratio of branching fractions Br (b⁰ c (2595) ^+^-_) and Br (b⁰ c (2595) ^+^-_). 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.
Duan et al. (Sat,) studied this question.