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

T. Burch; K. Orginos; D. Toussaint

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

T. Burch, K. Orginos, D. Toussaint

Physics

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)σ̄·B̄, 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
Pages (from-to)	745051-745055
Number of pages	5
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	64
Issue number	7
State	Published - Oct 1 2001

ASJC Scopus subject areas

Nuclear and High Energy Physics
Physics and Astronomy (miscellaneous)

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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 = "T. Burch and K. Orginos and D. Toussaint",

year = "2001",

month = oct,

day = "1",

language = "English (US)",

volume = "64",

pages = "745051--745055",

journal = "Physical Review D",

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

AU - Burch, T.

AU - Orginos, K.

AU - Toussaint, D.

PY - 2001/10/1

Y1 - 2001/10/1

N2 - Using lowest-order lattice nonrelativistic QCD to create heavy meson propagators and applying the spin-dependent interaction, cB(- g/2mq)σ̄·B̄, 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)σ̄·B̄, 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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