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Determining hybrid content of heavy quarkonia using lattice nonrelativistic QCD

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arxiv hep-lat/0110001 v1 pith:FFRR5QBH submitted 2001-09-28 hep-lat

classification hep-lat
keywords hamiltonianheavyhybridlatticetwo-stateadmixtureapplyingbottomonium
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

Using lowest-order lattice NRQCD to create heavy meson propagators and applying the spin-dependent interaction, $c_B^{} \frac{-g}{2m_q}\vec\sigma\cdot\vec{B}$, at varying intermediate time slices, we compute the off-diagonal matrix element of the Hamiltonian for the quarkonium-hybrid two-state system. 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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Cited by 1 Pith paper

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  1. Hybrid spin-dependent and hybrid-quarkonium mixing potentials at order $(1 /m_Q)^1$ from SU(3) lattice gauge theory

    hep-lat 2025-01 conditional novelty 7.0 of 10

    First SU(3) lattice computation of the four order-(1/m_Q)^1 hybrid spin-dependent and hybrid-quarkonium mixing potentials at a single lattice spacing.

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