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 $\Gamma ({\Sigma }_b^{(\ast )}\to {\Lambda }_b+\pi )$.

arXiv comment41 pages, 1 figure, LaTex2e, typos corrected

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Cited by in corpus (21)

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• Some mass relations for mesons and baryons in Regge phenomenology
• Strong and radiative decays of the low-lying $D$-wave singly heavy baryons
• Charm-strange baryon strong decays in a chiral quark model
• Bethe-Salpeter equation for doubly heavy baryons in the covariant instantaneous approximation
• Masses of doubly heavy baryons in the Bethe-Salpeter equation approach
• Strong decay of ${\Lambda }_c(2940)$ as a $2P$ state in the ${\Lambda }_c$ family
• Hadronic decays of mesons and baryons in the Dyson-Schwinger approach
• Strong decays of the higher excited ${\Lambda }_Q$ and ${\Sigma }_Q$ baryons
• Interpretation of the newly observed ${\Lambda }_b(6146{)}^0$ and ${\Lambda }_b(6152{)}^0$ states in a chiral quark model
• Measurement of the masses and widths of the bottom baryons Sigma_b+- and Sigma_b*+-
• Systematic analysis of strange single heavy baryons ${\Xi }_c$ and ${\Xi }_b$
• Spectra and decay properties of ${\Lambda }_b$ and ${\Sigma }_b$ baryons
• ${\Lambda }_b(6146{)}^0$ state newly observed by LHCb
• Studying the ${\bar{D}}_{1}K$ molecule in the Bethe-Salpeter equation approach
• Study of the strong ${\Sigma }_b\to {\Lambda }_b\pi$ and ${\Sigma }_b^{\ast }\to {\Lambda }_b\pi$ in a non-relativistic quark model
• 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
• Rare ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$ decay in the Bethe-Salpeter equation approach
• $B_{s1}(5778)$ as a $B^{\ast }\bar{K}$ molecule in the Bethe-Salpeter equation approach
• Residues of ${\Lambda }_Q$-type and ${\Sigma }_Q$-type Baryons in the Bethe-Salpeter Equation Approach