${\Lambda }_b\to {\Sigma }_c^{(\ast )}\pi l\bar{\nu }$ in the heavy quark, chiral, and large $N_c$ limits

Abstract

The decay of ${\Lambda }_b\to {\Sigma }_c^{(\ast )}\pi l\bar{\nu }$ 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 ${\Sigma }_c^{(\ast )}$ 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 ${\Lambda }_b\to {\Sigma }_c^{\ast }\pi l\bar{\nu }$ by using the baryonic Isgur-Wise function predicted by QCD sum rule (large $N_c$ QCD).

17 pages, 8 figures, to appear in PRD

References in corpus (5)

• Aspects Of Heavy Quark Theory
• Predictions for s-Wave and p-Wave Heavy Baryons from Sum Rules and Constituent Quark Model (I): Strong Interactions
• Remarks on the Strong Coupling Constants in Heavy Hadron Chiral Lagrangians
• Analysis of Lambda_b to Lambda_c Weak Decays in Heavy Quark Effective Theory
• 1/N_c Expansion of the Heavy Baryon Isgur-Wise Functions

Cited by in corpus (2)

• Leading Isgur-Wise form factor of ${\Lambda }_b\to {\Lambda }_{c1}$ transition using QCD sum rules
• Subleading Isgur-Wise Function of ${\Lambda }_b\to {\Lambda }_{c1}$ using QCD sum rules