Scaling of the B and D meson spectrum in lattice QCD

Details Scaling of the B and D meson spectrum in lattice QCD Scaling of the B and D meson spectrum in lattice QCD

2000-03-14

arxiv.org/abs/hep-ph/0003130v2

Phys.Rev.D62:074503,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

78 pages, 29 tables, 30 figures Revised version. Minor corrections to spelling and wording

Scientific paper

10.1103/PhysRevD.62.074503

We give results for the $B$ and the $D$ meson spectrum using NRQCD on the lattice in the quenched approximation. The masses of radially and orbitally excited states are calculated as well as $S$-wave hyperfine and $P$-wave fine structure. Radially excited $P$-states are observed for the first time. Radial and orbital excitation energies match well to experiment, as does the strange-non-strange $S$-wave splitting. We compare the light and heavy quark mass dependence of various splittings to experiment. Our $B$-results cover a range in lattice spacings of more than a factor of two. Our $D$-results are from a single lattice spacing and we compare them to numbers in the literature from finer lattices using other methods. We see no significant dependence of physical results on the lattice spacing. PACS: 11.15.Ha 12.38.Gc 14.40.Lb 14.40.Nd

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