Form factors of ${\Lambda }_b^0\to {\Lambda }_c(2595{)}^{+}$ within light-cone QCD sum rules

Abstract

In this work, we calculated the form factors of the weak decay process ${\Lambda }_b^0\to {\Lambda }_c(2595{)}^{+}$, where the final charm baryon represents an excited state with spin-parity ${\frac{1}{2}}^{-}$. Utilizing the light-cone QCD sum rules approach, we incorporated the contributions of the lowest two charm baryon states: the ground state ${\Lambda }_c$ with $J^P={\frac{1}{2}}^{+}$ and the excited state ${\Lambda }_c(2595{)}^{+}$ with $J^P={\frac{1}{2}}^{-}$ in the hadronic representation of the ${\Lambda }_b\to {\Lambda }_c(2595{)}^{+}$ transition correlation function. This approach allows us to extract the form factors of the ${\Lambda }_b^0\to {\Lambda }_c(2595{)}^{+}$ from ${\Lambda }_b^0\to {\Lambda }_c^{+}$ transition. During the light-cone QCD sum rules procedure, we employed the light-cone distribution amplitudes (LCDAs) of the ${\Lambda }_b$ 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 ${\Lambda }_b^0\to {\Lambda }_c(2595{)}^{+}{\ell }^{-}{\bar{\nu }}_{\ell }$ and provided the optimal choice of the interpolating current for ${\Lambda }_c$ in this process. Additionally, within the lifetime of ${\Lambda }_b^0$, we obtained the absolute branching fractions for the semileptonic decays ${\Lambda }_b^0\to {\Lambda }_c(2595{)}^{+}{\ell }^{-}{\bar{\nu }}_{\ell }$. With the branching fractions of ${\Lambda }_b^0\to {\Lambda }_c(2595{)}^{+}{\ell }^{-}{\bar{\nu }}_{\ell }$ calculated in this work, we also determined the parameter $R({\Lambda }_c(2595{)}^{+})$ which tests the lepton flavor universality. This parameter is defined as the ratio of branching fractions $Br({\Lambda }_b^0\to {\Lambda }_c(2595{)}^{+}{\tau }^{-}{\bar{\nu }}_{\tau })$ and $Br({\Lambda }_b^0\to {\Lambda }_c(2595{)}^{+}{\mu }^{-}{\bar{\nu }}_{\mu })$. 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.

arXiv comment21 pages, 8 figures and 5 tables

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