Excitations of single-beauty hadrons

TL;DR

This study investigates the orbital and radial excitations of single-beauty hadrons using lattice QCD, providing mass splittings, decay constant ratios, and preliminary kinetic correction calculations, and compares results with experimental data.

Contribution

It introduces a lattice QCD approach to study excited single-beauty hadrons, including kinetic corrections and variational methods for excited states.

Findings

Mass splittings and decay constant ratios consistent with experimental data.

Preliminary calculations of kinetic corrections for excited states.

Demonstration of variational method application to three-point functions.

Abstract

In this work we study the predominantly orbital and radial excitations of hadrons containing a single heavy quark. We present meson and baryon mass splittings and ratios of meson decay constants (e.g., $f_{B_s}/f_B$ and $f_{B_s'}/f_{B_s}$) resulting from quenched and dynamical two-flavor configurations. Light quarks are simulated using the chirally improved (CI) lattice Dirac operator at valence masses as light as $M_\pi \approx 350$ MeV. The heavy quark is approximated by a static propagator, appropriate for the $b$ quark on our lattices ($1/a \sim 1-2$ GeV). We also include some preliminary calculations of the $O(1/m_Q^{})$ kinetic corrections to the states, showing, in the process, a viable way of applying the variational method to three-point functions involving excited states. We compare our results with recent experimental findings.