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

TL;DR

This paper calculates the branching ratios of semileptonic and non-leptonic decays of charmed baryons using the light-front quark model, providing insights into their internal structure and form factors.

Contribution

It applies the light-front quark model to compute decay form factors and re-adjusts model parameters based on new Belle II data, revealing a more compact $ss$ subsystem in $\xi$ baryons.

Findings

Revised model parameter $eta_{s[sq]}=1.07$ GeV suggests a compact $ss$ pair.

Predicted decay branching ratios for $\xi_c$ decays.

Model consistency with upcoming experimental data.

Abstract

Without contamination from the final state interactions, the calculation of the branching ratios of semileptonic decays $\Xi^{(')}_{c}\to\Xi+e^+\nu_e$ 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 $\Xi^{(')}_c\to \Xi$ which will be experimentally measured soon, so our model would be tested by consistency with the new data.