The weak decays of ${\Xi }_c^{{(}^{\prime })}\to \Xi$ in the light-front quark model

Abstract

Without contamination from the final state interactions, the calculation of the branching ratios of semileptonic decays ${\Xi }_c^{{(}^{\prime })}\to \Xi +e^{+}{\nu }_e$ may provide us more information about the inner structure of charmed baryons. Moreover, by studying those processes, one can better determine the form factors of ${\Xi }_c\to \Xi$ which can be further applied to relevant estimates. In this work, we use the light-front quark model to carry out the computations where the three-body vertex functions for ${\Xi }_c$ and $\Xi$ are employed. To fit the new data of the Belle II, we re-adjust the model parameters and obtain ${\beta }_{s[sq]}=1.07$ GeV which is 2.9 times larger than ${\beta }_{s\bar{s}}=0.366$ GeV. This value may imply that the $ss$ pair in $\Xi$ constitutes a more compact subsystem. Furthermore, we also investigate the non-leptonic decays of ${\Xi }_c^{{(}^{\prime })}\to \Xi$ which will be experimentally measured soon, so our model would be tested by consistency with the new data.

Comments: 10 pages, 3 figures and 6 tables. arXiv admin note: text overlap with arXiv:1912.01435