Pion mean fields and heavy baryons

Abstract

We show that the masses of the lowest-lying heavy baryons can be very well described in a pion mean-field approach. We consider a heavy baryon as a system consisting of the $N_c-1$ light quarks that induce the pion mean field, and a heavy quark as a static color source under the influence of this mean field. In this approach we derive a number of \textit{model-independent} relations and calculate the heavy baryon masses using those of the lowest-lying light baryons as input. The results are in remarkable agreement with the experimental data. In addition, the mass of the ${\Omega }_b^{\ast }$ baryon is predicted.

6 pages, no figure. To be published in Phys. Rev. D as a rapid communication

References in corpus (5)

• Exotic Anti-Decuplet of Baryons: Prediction from Chiral Solitons
• Baryons as non-topological chiral solitons
• Heavy Quark Solitons: Strangeness and Symmetry Breaking
• Electromagnetic mass differences of SU(3) baryons within a chiral soliton model
• Mass splittings of SU(3) baryons within a chiral soliton model

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