Spin Effects in Heavy Hybrid Mesons on an Anisotropic Lattice

Details Spin Effects in Heavy Hybrid Mesons on an Anisotropic Lattice Spin Effects in Heavy Hybrid Mesons on an Anisotropic Lattice

1999-12-21

arxiv.org/abs/hep-lat/9912041v1

Phys.Lett. B478 (2000) 151-160

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages, 5 figures, LaTeX

Scientific paper

10.1016/S0370-2693(00)00225-2

We present a quenched calculation of lowest bottomonium hybrid states on an anisotropic lattice with Landau mean-link tadpole improvement, using the improved NRQCD Hamiltonian. We investigate the quark-spin s=0,1 sectors, which contain both the non-exotic 1-- and the exotic 1-+, and demonstrate their degeneracy in the case of the lowest order Hamiltonian. Both states are found at around 1.6 GeV above the Upsilon ground state. We examine the spin-splitting for several hybrid states that is due to the magnetic moment term in the NRQCD Hamiltonian, all other terms having negligible effect. The spin splittings are well resolved outside errors and are surprisingly large, and we investigate their dependence on the strength of the magnetic term. We calculate one contribution to these splittings using the Born-Oppenheimer picture for hybrids and show that the observed size of the effect is plausibly explained by mixing with hybrid states with more than one constituent gluon.

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