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.

9 latex pages, 5 figures, 6 tables

References in corpus (3)

• Masses of excited heavy baryons in the relativistic quark-diquark picture
• Static properties and semileptonic decays of doubly heavy baryons in a nonrelativistic quark model
• Semileptonic decays of heavy baryons in the relativistic quark model

Cited by in corpus (5)

• Heavy baryon spectroscopy in QCD
• Proton-Antiproton Annihilation into a Lambda_c-Antilambda_c Pair
• Excitation energy spectra of the Lambda_c and Lambda_b baryons in a finite-size diquark model
• Sum rule for the partial decay rates of bottom hadrons based on the dynamical supersymmetry of the $\bar{s}$ quark and the $ud$ diquark
• Excitation spectra of heavy baryons in diquark models