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.

arXiv comment35 pages. v3: Data from two new lattices added. New results in several chapters

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Cited by in corpus (15)

• A review of the open charm and open bottom systems
• Predicting positive parity $B_s$ mesons from lattice QCD
• The newly observed open-charm states in quark model
• Precise B, B_s and B_c meson spectroscopy from full lattice QCD
• First observation of the decay $B_{s2}^{\ast }(5840{)}^0\to B^{\ast +}{K}^{-}$ and studies of excited $B_s$ mesons
• Strong decays of newly observed $D_{sJ}$ states in a constituent quark model with effective Lagrangians
• Implication of BaBar's new data on the $D_{s1}(2710)$ and $D_{sJ}(2860)$
• 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
• The continuum limit of the static-light meson spectrum
• Masses of Scalar and Axial-Vector B Mesons Revisited
• Near Mass Degeneracy in the Scalar Meson Sector: Implications for $B_{(s)0}^{\ast }$ and $B_{(s)1}^{\prime }$ Mesons
• Spatial distributions in static heavy-light mesons: a comparison of quark models with lattice QCD
• B-meson spectroscopy in HQET at order 1/m
• Recent issues in open and hidden charm spectroscopy