Bottom-Hadron Mass Splittings from Static-Quark Action on 2+1-Flavor Lattices

Understand

We calculate bottom-hadron mass splittings with respect to $B_d$ and $\Lambda_b$ using full QCD with 2+1 flavors of dynamical Kogut-Susskind sea quarks and domain-wall valence quarks along with a static heavy quark.

• Our lattices have spatial volume of $(2.5{fm})^3$ with lattice spacing about 0.124 fm and a range of pion masses as low as 291 MeV.
• Our results are in agreement with experimental observations and other lattice calculations within our statistical and systematic errors.
• In particular, we find the mass of the $\Omega_b$ to be consistent with the recent CDF measurement.