Semileptonic weak decays of anti-triplet charmed baryons in the light-front formalism

Abstract

We systematically study the semileptonic decays of ${\mathbf{B}}_{\mathbf{c}}\to {\mathbf{B}}_{\mathbf{n}}{\ell }^{+}{\nu }_{\ell }$ in the light-front constituent quark model, where ${\mathbf{B}}_{\mathbf{c}}$ represent the anti-triplet charmed baryons of $({\Xi }_c^0,{\Xi }_c^{+},{\Lambda }_c^{+})$ and ${\mathbf{B}}_{\mathbf{n}}$ correspond to the octet ones. We determine the spin-flavor structures of the constituents in the baryons with the Fermi statistics and calculate the decay branching ratios ($\mathcal{B}$s) and averaged asymmetry parameters ($\alpha$s) with the helicity formalism. In particular, we find that $\mathcal{B}({\Lambda }_c^{+}\to \Lambda e^{+}{\nu }_e,n{e}^{+}{\nu }_e)=(3.55\pm 1.04,0.36\pm 0.15)\%$, $\mathcal{B}({\Xi }_c^{+}\to {\Xi }^0{e}^{+}{\nu }_e,{\Sigma }^0{e}^{+}{\nu }_e,\Lambda e^{+}{\nu }_e)=(11.3\pm 3.35),0.33\pm 0.09,0.12\pm 0.04\%$ and $\mathcal{B}({\Xi }_c^0\to {\Xi }^{-}{e}^{+}{\nu }_e,{\Sigma }^{-}{e}^{+}{\nu }_e)=(3.49\pm 0.95,0.22\pm 0.06)\%$. Our results agree with the current experimental data. Our prediction for $\mathcal{B}({\Lambda }_c^{+}\to n{e}^{+}{\nu }_e)$ is consistent with those in the literature, which can be measured by the charm-facilities, such as BESIII and BELLE. Some of our results for the ${\Xi }_c^{+(0)}$ semileptonic channels can be tested by the experiments at BELLE as well as the ongoing ones at LHCb and BELLEII.

17 pages, 1 figure, version accepted by PRD. arXiv admin note: text overlap with arXiv:2002.10612

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