Triply Heavy Baryons and Heavy Quark Spin Symmetry

TL;DR

This paper investigates semileptonic decays of triply-heavy baryons using heavy quark spin symmetry and lattice-inspired confinement potentials, providing simplified form factors and insights into their decay properties.

Contribution

It introduces a framework applying heavy quark spin symmetry to triply-heavy baryons and examines the impact of a Y-shaped confinement potential on decay form factors.

Findings

Heavy quark spin symmetry constrains decay matrix elements to single form factors.

The Y-shaped confinement potential influences the structure of baryon decay form factors.

Results facilitate understanding of triply-heavy baryon decays near zero recoil.

Abstract

We study the semileptonic $b\to c$ decays of the lowest-lying triply-heavy baryons made from $b$ and $c$ quarks in the limit $m_b, m_c \gg \Lambda_\mathrm{QCD}$ and close to the zero recoil point. The separate heavy quark spin symmetries strongly constrain the matrix elements, leading to single form factors for $ccb\to ccc$, $bbc\to ccb$, and $bbb\to bbc$ baryon decays. We also study the effects on these systems of using a $Y$-shaped confinement potential, as suggested by lattice QCD results for the interaction between three static quarks.