Heavy hadron spectrum from 2+1+1 flavor MILC lattices

Abstract

We study the mass spectra and various mass differences of heavy hadrons containing one or more bottom quarks using MILC's $N_f = 2+1+1$ HISQ gauge ensembles at three lattice spacings. For the valence quarks, we employ a combination of lattice actions: the NRQCD action is used for bottom quarks, the anisotropic Clover action for charm quarks, and the $O(a)$-improved Wilson--Clover action for strange and lighter (up/down) quarks. Heavy hadron operators with at least one bottom quark are constructed by considering all possible combinations with charm, strange, and light quarks corresponding to various quantum numbers.

Figures (4)

• Figure 1: Effective masses of forward and backward propagation of $\eta_b$, on $16^{3}\times48$ and $24^{3}\times64$ lattices, obtained for test of unitarity.
• Figure 2: Effective mass plots for $B_c$. The bands are placed over the fit range.
• Figure 3: $\Omega^*_{bbb}$, $\Omega^*_{cbb}$, and $\tilde{\Omega}_{ccb}$ effective masses for $16^3 \times 48$ and $24^3 \times 64$ ensembles.
• Figure 4: Comparison of our single, double and triple bottom baryon spectra with Brown et al. Brown:2014ena, Burch Burch:2015pka, and Mathur et al. Mathur:2018epbMathur:2002ce.