Charmed-Bottom Mesons from Lattice QCD

TL;DR

This paper computes the ground state spectra of charm-bottom mesons and baryons using lattice QCD, providing precise mass predictions and hyperfine splittings with multiple lattice spacings.

Contribution

It introduces a combined approach using overlap and non-relativistic quarks on HISQ configurations to study heavy mesons and baryons, offering new mass predictions.

Findings

Hyperfine splitting of B_c mesons: 56^{+4}_{-3} MeV

Predicted ground state masses of charm-bottom baryons

Results consistent across three lattice spacings

Abstract

We present ground state spectra of mesons containing a charm and a bottom quark. For the charm quark we use overlap valence quarks while a non-relativistic formulation is utilized for the bottom quark on a background of 2+1+1 flavors HISQ gauge configurations generated by the MILC collaboration. The hyperfine splitting between $1S$ states of $B_c$ mesons is found to be $56^{+4}_{-3}$ MeV. We also study the baryons containing only charm and bottom quarks and predict their ground state masses. Results are obtained at three lattice spacings.