Measurement of hybrid content of heavy quarkonia using lattice NRQCD

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. 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 ${\rm Y}$ to show a $0.0035(1)c_B^2$ (with $c_B^2\sim 1.5-3.1$) probability admixture of hybrid, $|b\bar{b}g>$.

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

References in corpus (5)

• The static quark potential in three flavor QCD
• Hybrid Quarkonia on Asymmetric Lattices
• Spin Effects in Heavy Hybrid Mesons on an Anisotropic Lattice
• QCD Calculations of Heavy Quarkonium States
• Heavy Quarkonia from Anisotropic and Isotropic Lattices

Cited by in corpus (7)

• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• Excitations of single-beauty hadrons
• Exotic Meson Decay Widths using Lattice QCD
• Charmonia from Lattice QCD
• Hybrid configuration content of heavy S-wave mesons
• Non-abelian color dielectric - towards the effective model of the low energy QCD
• Preliminary results of the heavy-light meson spectrum using chirally improved light quarks