Test of the heavy quark-light diquark approximation for baryons with a heavy quark

Abstract

We check a commonly used approximation in which a baryon with a heavy quark is described as a heavy quark-light diquark system. The heavy quark influences the diquark internal motion reducing the average distance between the two light quarks. Besides, we show how the average distance between the heavy quark and any of the light quarks, and that between the heavy quark and the center of mass of the light diquark, are smaller than the distance between the two light quarks, which seems to contradict the heavy quark-light diquark picture. This latter result is in agreement with expectations from QCD sum rules and lattice QCD calculations. Our results also show that the diquark approximations produces larger masses than the ones obtained in a full calculation.

arXiv comment9 latex pages, 5 figures, 6 tables

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• Excitation energy spectra of the Lambda_c and Lambda_b baryons in a finite-size diquark model
• Study of the strong ${\Sigma }_b\to {\Lambda }_b\pi$ and ${\Sigma }_b^{\ast }\to {\Lambda }_b\pi$ in a non-relativistic quark model
• Heavy baryon wave functions, Bakamjian-Thomas approach to form factors, and observables in ${\Lambda }_b\to {\Lambda }_c\left({\frac{1}{2}}^{\pm }\right)\ell \overline{\nu }$ transitions
• Sum rule for the partial decay rates of bottom hadrons based on the dynamical supersymmetry of the $\bar{s}$ quark and the $ud$ diquark
• Non-perturbative Analysis of Various Mass Generation by Gluonic Dressing Effect with the Schwinger-Dyson Formalism in QCD
• Excitation spectra of heavy baryons in diquark models
• Dynamical supersymmetry for strange quark and $ud$ antidiquark in hadron mass spectrum