Residues of ${\Lambda }_Q$-type and ${\Sigma }_Q$-type Baryons in the Bethe-Salpeter Equation Approach

Abstract

We study the residues of ${\Lambda }_Q$-type baryons (${\Lambda }_Q$ and ${\Xi }_Q^A$) $(Q=b,c)$ and ${\Sigma }_Q$-type baryons (${\Sigma }_Q^{(\ast )}$, ${\Xi }_Q^{S(\ast )}$ and ${\Omega }_Q^{(\ast )}$) in the quark-diquark model within the Bethe-Salpeter (BS) formalism. These residues can be used, for example, in the calculations of the amplitudes in the scattering processes. After constructing the baryonic currents in the BS formalism, we derive the relations between the BS wave functions and the residues for these baryons. The BS equations are solved numerically with the kernel including the scalar confinement and the one gluon exchange terms and with the covariant instantaneous approximation being employed in the calculations. Finally, we obtain the numerical values of the residues $0.103\mathrm{GeV}\sim 0.224\mathrm{GeV}$ for ${\Lambda }_Q$, $0.143\mathrm{GeV}\sim 0.215\mathrm{GeV}$ for ${\Xi }_Q^A$, $0.262\mathrm{GeV}\sim 0.361\mathrm{GeV}$ for ${\Sigma }_Q^{(\ast )}$, $0.313\mathrm{GeV}\sim 0.460\mathrm{GeV}$ for ${\Xi }_Q^{S(\ast )}$ and $0.473\mathrm{GeV}\sim 0.571\mathrm{GeV}$ for ${\Omega }_Q^{(\ast )}$ in the ranges of the parameters in our model.

References in corpus (17)

• Baryonic currents and their correlators in the Heavy Quark Effective Theory
• Masses of doubly and triply charmed baryons
• Solving Bethe-Salpeter equation for two fermions in Minkowski space
• Spectra of Baryons Containing Two Heavy Quarks in Potential Model
• QCD Sum Rules for Heavy Baryons at Next-to-Leading Order in alpha_s
• Isgur-Wise Function for ${\Lambda }_b\to {\Lambda }_c$ in B-S Approach
• Bethe-Salpeter equation for doubly heavy baryons in the covariant instantaneous approximation
• Advances in solving the two-fermion homogeneous Bethe-Salpeter equation in Minkowski space
• Bethe-Salpeter Equation for Heavy Baryons ω_{Q}^{(*)} in the Diquark Picture
• Strong decays of heavy baryons in Bethe-Salpeter formalism
• Applications of the superflavor symmetry to heavy baryon-antibaryon pair production in electron-positron collision
• A diquark model for baryons containing one heavy quark
• 1/m_Q Corrections to the Bethe-Salpeter Equation for Λ_{Q} in the Diquark Picture
• Analysis of the ${\Lambda }_c(2625)$ and ${\Xi }_c(2815)$ with QCD sum rules
• Electromagnetic form factors of ${\Lambda }_b$ in the Bethe-Salpeter equation approach
• The Average Kinetic Energy of the Heavy Quark in ${\Lambda }_b$ in the Bethe-Salpeter Equation Approach
• Λ_b \to Λ_c P(V) Nonleptonic Weak Decays