Measurement of hybrid content of heavy quarkonia using lattice NRQCD

Details Measurement of hybrid content of heavy quarkonia using lattice NRQCD Measurement of hybrid content of heavy quarkonia using lattice NRQCD

2001-03-22

arxiv.org/abs/hep-lat/0103025v2

Phys.Rev. D64 (2001) 074505

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, 4 figures, to appear in Phys Rev D

Scientific paper

10.1103/PhysRevD.64.074505

Using lowest-order lattice NRQCD to create heavy meson propagators and applying the spin-dependent interaction, $c_B^{} \frac{-g}{2m_q}\vec\sigma\cdot\vec{B}$, at varying intermediate time slices, we compute the off-diagonal matrix element of the Hamiltonian for the quarkonium-hybrid two-state system. Thus far, we have results for one set of quenched lattices with an interpolation in quark mass to match the bottomonium spectrum. After diagonalization of the two-state Hamiltonian, we find the ground state of the $\Upsilon$ to show a $0.0035(1)c_B^2$ (with $c_B^2 \sim 1.5-3.1$) probability admixture of hybrid, $|b\bar{b}g>$.

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