Anatomy of ${\Lambda }_c^{+}$ semileptonic decays

Abstract

We present a systematic study of ${\Lambda }_c^{+}\to {\mathcal{B}}_q{\ell }^{+}{\nu }_{\ell }$ with ${\mathcal{B}}_q=(\Lambda ,n)$ and $\ell =(e,\mu )$, examining all the possible decay observables based on the homogeneous bag model (HBM) and lattice QCD (LQCD). With the HBM, we find that the branching fractions and polarization asymmetries of the daughter baryon $\Lambda$ are $\mathcal{B}({\Lambda }_c^{+}\to \Lambda e^{+}{\nu }_e,\Lambda {\mu }^{+}{\nu }_{\mu },n{\ell }^{+}{\nu }_{\ell })=(3.78\pm 0.25,3.67\pm 0.23,0.40\pm 0.04)\%$ and ${\alpha }_{\Lambda }({\Lambda }_c^{+}\to \Lambda e^{+}{\nu }_e,\Lambda {\mu }^{+}{\nu }_{\mu })=(-82.6,-82.3)\%$, respectively. From the LQCD, we obtain that ${\alpha }_{\Lambda }({\Lambda }_c^{+}\to \Lambda e^{+}{\nu }_e,{\mu }^{+}{\nu }_{\mu })=(-87.4\pm 1.0,-87.2\pm 1.0)\%$. We also explore the time-reversal asymmetries due to new physics beyond the standard model. All our results are consistent with the current experimental data, while some of them are accessible to the experiments at BESIII and Belle II.

23 pages, 17 figures

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• ${\Lambda }_c$ semileptonic decays
• Observation of a rare beta decay of the charmed baryon with a Graph Neural Network
• Study of singly heavy baryon lifetimes
• Semileptonic decays of doubly charmed baryons with bag model
• Evidence for the semileptonic decays ${\Lambda }_c^{+}\to {\Sigma }^{\pm }{\pi }^{\mp }{e}^{+}{\nu }_e$
• Baryons and baryoniums in the perspective of QCD sum rules