Heavy-Flavor-Conserving Hadronic Weak Decays of Charmed and Bottom Baryons: an Update

TL;DR

This paper updates calculations of heavy-flavor-conserving hadronic weak decays of charmed and bottom baryons, improving the theoretical framework and providing predictions consistent with current experiments and testable in future collider experiments.

Contribution

It refines the calculation of baryon matrix elements by removing center-of-mass motion, leading to larger estimates and new predictions for unmeasured decay branching fractions.

Findings

Calculated branching fractions agree with current experimental results.

Predicted branching fractions for unmeasured decays are within reach of current experiments.

Matrix elements of 4-quark operators are nearly twice larger than previous estimates.

Abstract

This paper serves as an update of the previous work entitled ``Heavy-Flavor-Conserving Hadronic Weak Decays of Charmed and Bottom Baryons". We make an improvement on the bag wave functions by removing the center-of-mass motion of the bag. All the baryon matrix elements are now calculated under the same framework without introducing new parameters. The matrix elements of 4-quark operators are found to be nearly twice larger than the previous ones. The calculated branching fractions of $ \Xi_c ^0 \to \Lambda_c ^+\pi^-$ and $\Xi_b^- \to \Lambda^0_b \pi^-$ are both in agreement with current experimental results. For the yet-to-be-measured heavy-flavor-conserving decays, we find ${\cal B}( \Xi_c ^+ \to \Lambda_c ^+\pi^0) = (13.8 \pm 1.4)\times 10^{-3}$, ${\cal B}( \Xi_b^0 \to \Lambda^0_b \pi^0) = (2.6 \pm 0.3)\times 10^{-3}$, ${\cal B}( \Omega_c ^0 \to \Xi_c^+\pi^-) = (2.0 \pm 0.2)\times 10^{-3}$ and ${\cal B}( \Omega_c ^0 \to \Xi_c^0\pi^0)= (1.1 \pm 0.1)\times 10^{-3}$. They are all accessible to LHCb, Belle and Belle II and can be tested in the near future.