Hyperfine mixing in $b\to c$ semileptonic decay of doubly heavy baryons

TL;DR

This paper investigates how hyperfine mixing influences the decay widths of doubly heavy $bc$ baryons in $b o c$ semileptonic decays, confirming previous findings but with notable differences in decay width predictions.

Contribution

It provides new decay width predictions for unmixed states that differ from prior work and suggests using heavy quark spin symmetry for experimental analysis of baryon admixtures.

Findings

Hyperfine mixing significantly affects decay widths.

Predictions for unmixed states differ by a factor of 2 from previous work.

Heavy quark spin symmetry can help experimentally determine baryon admixtures.

Abstract

We qualitatively corroborate the results of W. Roberts and M. Pervin in Int. J. Mod. Phys. A 24, 2401 (2009) according to which hyperfine mixing greatly affects the decay widths of $b\to c$ semileptonic decays involving doubly heavy $bc$ baryons. However, our predictions for the decay widths of the unmixed states differ from those reported in the work of Roberts and Pervin by a factor of 2, and this discrepancy translates to the mixed case. We further show that the predictions of heavy quark spin symmetry, might be used in the future to experimentally extract information on the admixtures in the actual physical $bc$ baryons, in a model independent manner.