Charmed and Bottom Baryons: a Variational Approach based on Heavy Quark Symmetry

Abstract

The use of Heavy Quark Symmetry to study bottom and charmed baryons leads to important simplifications of the non-relativistic three body problem, which turns out to be easily solved by a simple variational ansatz. Our simple scheme reproduces previous results (baryon masses, charge and mass radii, $...$) obtained by solving the Faddeev equations with simple non-relativistic quark--quark potentials, adjusted to the light and heavy--light meson spectra. Wave functions, parameterized in a simple manner, are also given and thus they can be easily used to compute further observables. Our method has been also used to find the predictions for strangeness-less baryons of the SU(2) chirally inspired quark-quark interactions. We find that the one pion exchange term of the chirally inspired interactions leads to relative changes of the ${\Lambda }_b$ and ${\Lambda }_c$ binding energies as large as 90%.

arXiv comment20 pages, 5 figures. Revised version to be published in Nucl. Phys. A

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