Strong decays of heavy baryons in Bethe-Salpeter formalism

Abstract

In this paper we study the properties of diquarks (composed of $u$ and/or $d$ quarks) in the Bethe-Salpeter formalism under the covariant instantaneous approximation. We calculate their BS wave functions and study their effective interaction with the pion. Using the effective coupling constant among the diquarks and the pion, in the heavy quark limit $m_Q\to \infty$, we calculate the decay widths of ${\Sigma }_Q^{(\ast )}$ ($Q=c,b$) in the BS formalism under the covariant instantaneous approximation and then give predictions of the decay widths $\Gamma ({\Sigma }_b^{(\ast )}\to {\Lambda }_b+\pi )$.

41 pages, 1 figure, LaTex2e, typos corrected

References in corpus (4)

• Spectra of Free Diquark in the Bethe-Salpeter Approach
• Combined Chiral Dynamics and MIT Bag Model Study of Strong Σ^{(*)}_Q \to Λ_QπDecays
• The Average Kinetic Energy of the Heavy Quark in ${\Lambda }_b$ in the Bethe-Salpeter Equation Approach
• The Instantaneous Formulations for Bethe Salpeter Equation and Radiative Transitions between Two Bound-States

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• New ${\Lambda }_b(6072{)}^0$ state as a $2S$ bottom baryon
• Tree Level Semileptonic ${\Sigma }_b$ to Nucleon Decay in Light Cone QCD Sum Rules