$\Lambda_b\to\Sigma_c^{(*)}\pi l{\bar\nu}$ in the heavy quark, chiral, and large $N_c$ limits

TL;DR

This paper calculates decay rates of specific bottom baryon decays into charmed baryons, pions, leptons, using heavy baryon chiral perturbation theory combined with large N_c expansion, providing detailed distribution and branching ratios.

Contribution

It introduces a combined framework of heavy baryon chiral perturbation theory and large N_c expansion to analyze these decay processes, offering new theoretical predictions.

Findings

Decay branching ratios are approximately 1.21% and 0.798%.

Decay rate distributions over velocities and energies are provided.

Results are based on the baryonic Isgur-Wise function from QCD sum rules.

Abstract

The decay of $\Lambda_b\to\Sigma_c^{(*)}\pi l{\bar\nu}$ processes are calculated in the framework of heavy baryon chiral perturbation theory with help of the $1/N_c$ expansion. The decay rate distributions over $v\cdot v^{\prime}$ where $v$ and $v^{\prime}$ are the 4-vector velocities of $\Lambda_b$ and $\Sigma_c^{(*)}$ respectively, and over the pion and lepton energies are given. The decay branching ratios amount to about $1.21(0.971)%$ for $\Lambda_b\to\Sigma_c\pi l{\bar\nu}$ and $0.798(0.640)%$ for $\Lambda_b\to\Sigma_c^*\pi l{\bar\nu}$ by using the baryonic Isgur-Wise function predicted by QCD sum rule (large $N_c$ QCD).