Energies of B_s meson excited states - a lattice study

Abstract

This is a follow-up to our earlier work on the energies and radial distributions of heavy-light mesons. The heavy quark is taken to be static (infinitely heavy) and the light quark has a mass about that of the strange quark. We now concentrate on the energies of the excited states with higher angular momentum and with a radial node. A new improvement is the use of hypercubic blocking in the time direction. The calculation is carried out with dynamical fermions on a 16 cubed times 32 lattice with a lattice spacing approximately 0.1 fm generated using a non-perturbatively improved clover action. In nature the closest equivalent of this heavy-light system is the B_s meson, which allows us to compare our lattice calculations to experimental results (where available) or to give a prediction where the excited states, particularly P-wave states, should lie. We pay special attention to the spin-orbit splitting, to see which one of the states (for a given angular momentum L) has the lower energy. An attempt is made to understand these results in terms of the Dirac equation.

35 pages. v3: Data from two new lattices added. New results in several chapters

References in corpus (4)

• $D_{sJ}(2860)$ resonance and the $s_{\ell }^P={\frac{5}{2}}^{-}$ $c\bar{s}$ ($c\bar{q}$) doublet
• Why there is no spin-orbit inversion in heavy-light mesons?
• Radial and orbital excitations of static-light mesons
• B_c and Excited B States - A Tevatron Review

Cited by in corpus (6)

• The newly observed open-charm states in quark model
• Precise B, B_s and B_c meson spectroscopy from full lattice QCD
• Exotic Tetraquark states with two $\bar{b}$-quarks and $J^P=0^{+}$ and $1^{+}$ $B_s$ states in a nonperturbatively-tuned Lattice NRQCD setup
• HQET at order $1/m$: II. Spectroscopy in the quenched approximation
• Near Mass Degeneracy in the Scalar Meson Sector: Implications for $B_{(s)0}^{\ast }$ and $B_{(s)1}^{\prime }$ Mesons
• Recent issues in open and hidden charm spectroscopy