Radial and orbital excitations of static-light mesons

Abstract

We present results for the spectrum of static-light mesons from N f = 2 lattice QCD. These results were obtained using all-to-all light quark propagators on an anisotropic lattice, yielding an improved signal resolution when compared to more conventional lattice techniques. With a light quark mass close to the strange quark, we have measured the splittings between the ground-state S-wave staticlight meson and higher excitations. We attempt to identify the quantum numbers of the excited states in the context of the reduced spatial symmetries of the lattice.

Chiral symmetry restoration in static-light mesons: A chiral restoration theorem, the quark running mass m(k) , and chiral restoration signals in the lattice QCD spectra

“…In the notation of Ref. [45] , the correspondence be- tween the octahedral irreducible representations and the continuum representations is the following.…”

“…In Section IV we review the angular excitations of the antistatic-light system, in lattice QCD [41][42][43][44][45] . We discuss the lattice QCD spectrum for static-light mesons computed with dynamical quarks and compare them with previous lattice QCD computations with quenched light quarks.…”

“…However, when computing the static quark potentials with Wilson lines the energy of the groundstate is in general not precisely determined. For instance this occurs in the static quark -static antiquark potential, as a function of their spacial distance r computed with the Wilson loop, where [45]. The splitting between the ground state in the G 1u (S-wave) irrep and the other states determined in this analysis by fits to the full optimised correlation matrices.…”

“…1. The light quark operator wavefunction Γ is an appropriate combination of spherical harmonics and gamma matrices coupling angular momentum and quark spin to yield well defined total angular momentum j and parity p for the light quark [42][43][44][45].…”

PreciseB,Bs, andBcmeson spectroscopy from full lattice QCD

“…A lattice analysis on multiple volumes allows single and multiparticle states to be separated. In practice [31] it seems that bilinear operators of the kind that we have used here have very small overlap with multiparticle states. So, although in principle there may be a multiparticle state (such as B s π) at a lower mass value than the B s0 it is very hard to pick it out of a lattice QCD calculation without explicitly using multiparticle operators, which we have not done.…”