The role of hyperfine mixing in $b\to c$ semileptonic decays of doubly-heavy baryons

TL;DR

This paper investigates how hyperfine mixing influences $b o c$ semileptonic decays of doubly-heavy baryons, confirming previous findings and highlighting significant differences in decay width predictions with and without mixing.

Contribution

It provides a detailed analysis of hyperfine mixing effects, demonstrating their substantial impact on decay transition predictions in doubly-heavy baryons.

Findings

Hyperfine mixing greatly affects decay transition predictions.

Predictions without mixing differ by a factor of 2 from those with mixing.

Large differences in decay widths are observed depending on mixing considerations.

Abstract

We analyze the effects of hyperfine mixing in $b \to c$ semileptonic decays of doubly heavy baryons. We qualitatively confirm the results by W. Roberts and M. Pervin in Int. J. Mod. Phys. A, 2009, {\bf 24}: 2401-2413, finding that mixing has a great impact on those transitions. However, predictions without mixing differ by a factor of 2 and this discrepancy translates to the mixed case where large differences in decay widths are observed between the two calculations.