Measurement of the hybrid content of heavy quarkonia using lattice nonrelativistic QCD

Tommy Burch; Kostas Orginos; Doug Toussaint

doi:10.1103/PhysRevD.64.074505

Measurement of the hybrid content of heavy quarkonia using lattice nonrelativistic QCD

Tommy Burch, Kostas Orginos, Doug Toussaint

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

Using lowest-order lattice nonrelativistic QCD to create heavy meson propagators and applying the spin-dependent interaction, c_B(-g/2m_q)σ^→-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 Y to show a 0.0035(1)c_B² (with c_B²∼1.5-3.1) probability admixture of hybrid, |bb̄g〉.

Original language	English (US)
Article number	074505
Journal	Physical Review D
Volume	64
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevD.64.074505
State	Published - 2001
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.64.074505

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title = "Measurement of the hybrid content of heavy quarkonia using lattice nonrelativistic QCD",

abstract = "Using lowest-order lattice nonrelativistic QCD to create heavy meson propagators and applying the spin-dependent interaction, cB(-g/2mq)σ→-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 Y to show a 0.0035(1)cB2 (with cB2∼1.5-3.1) probability admixture of hybrid, |b{\=b}g〉.",

author = "Tommy Burch and Kostas Orginos and Doug Toussaint",

year = "2001",

doi = "10.1103/PhysRevD.64.074505",

language = "English (US)",

volume = "64",

journal = "Physical Review D",

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publisher = "American Institute of Physics",

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T1 - Measurement of the hybrid content of heavy quarkonia using lattice nonrelativistic QCD

AU - Burch, Tommy

AU - Orginos, Kostas

AU - Toussaint, Doug

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N2 - Using lowest-order lattice nonrelativistic QCD to create heavy meson propagators and applying the spin-dependent interaction, cB(-g/2mq)σ→-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 Y to show a 0.0035(1)cB2 (with cB2∼1.5-3.1) probability admixture of hybrid, |bb̄g〉.

AB - Using lowest-order lattice nonrelativistic QCD to create heavy meson propagators and applying the spin-dependent interaction, cB(-g/2mq)σ→-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 Y to show a 0.0035(1)cB2 (with cB2∼1.5-3.1) probability admixture of hybrid, |bb̄g〉.

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JO - Physical Review D

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ER -

Measurement of the hybrid content of heavy quarkonia using lattice nonrelativistic QCD

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