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Determining hybrid content of heavy quarkonia using lattice nonrelativistic QCD

Tommy Burch·Kostas Orginos·Doug Toussaint
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Abstract

Using lowest-order lattice NRQCD to create heavy meson propagators and applying the spin-dependent interaction, $c_B^{} \frac{-g}{2m_q}\vecσ\cdot\vec{B}$, at varying intermediate time slices, we compute the off-diagonal matrix element of the Hamiltonian for the quarkonium-hybrid two-state system. Diagonalizing this two-state Hamiltonian, the admixture of hybrid ($|Q\bar{Q}g>$) in the ground state is found. We present results from a set of quenched lattices with an interpolation in quark mass to match the bottomonium spectrum.

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Tommy Burch, Kostas Orginos, Doug Toussaint. 2001-09-28. Determining hybrid content of heavy quarkonia using lattice nonrelativistic QCD. https://arxiv.org/abs/hep-lat/0110001

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