Large $N_c$ Universality of The Baryon Isgur--Wise Form Factor: The Group Theoretical Approach

Abstract

In a previous article, it has been proved under the framework of chiral soliton model that the same Isgur--Wise form factor describes the semileptonic ${\Lambda }_b\to {\Lambda }_c$ and ${\Sigma }_b^{(\ast )}\to {\Sigma }_c^{(\ast )}$ decays in the large $N_c$ limit. It is shown here that this result is in fact independent of the chiral soliton model and is solely the consequence of the spin-flavor SU(4) symmetry which arises in the baryon sector in the large $N_c$ limit.

10 pages in REVTeX, no figures

References in corpus (5)

• The 1/N Expansion for Baryons
• Heavy baryons
• The Baryon Isgur-Wise Function in the Large $N_c$ Limit
• New Universality of Baryon Isgur--Wise Form Factor in the Large $N_c$ limit
• Conservation Laws and Sum Rules in the Heavy Quark Limit

Cited by in corpus (14)

• Exclusive Nonleptonic Decays of Bottom and Charm Baryons in a Relativistic Three-Quark Model: Evaluation of Nonfactorizing Diagrams
• Semileptonic Decays of Heavy Lambda Baryons in a Quark Model
• Charm and Bottom Baryon Decays in the Bethe-Salpeter Approach: Heavy to Heavy Semileptonic Transitions
• Phenomenology of Large N_c QCD
• Light-Front Approach for Heavy Pentaquark Transitions
• Bethe-Salpeter Equation for Heavy Baryons ω_{Q}^{(*)} in the Diquark Picture
• Choice of heavy baryon currents in QCD sum rules
• Bound on the curvature of the Isgur-Wise function of the baryon semileptonic decay Lambda_b -> Lambda_c + l + nu
• ${\Omega }_b$ semi-leptonic weak decays
• Single Pion Transitions of Charmed Baryons
• 1/N_c Expansion of the Heavy Baryon Isgur-Wise Functions
• b-baryon semi-tauonic decays in the Standard Model
• Heavy Baryon Masses in Large N_c HQET
• ${\Lambda }_b\to {\Sigma }_c^{(\ast )}\pi l\bar{\nu }$ in the heavy quark, chiral, and large $N_c$ limits