Hybrid configuration content of heavy S-wave mesons

Tommy Burch, William D Toussaint

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We use the nonrelativistic expansion of QCD (NRQCD) on the lattice to study the lowest hybrid configuration contribution to the ground state of heavy S-wave mesons. Using lowest-order lattice NRQCD to create the heavy-quark propagators, we form a basis of "unperturbed" S-wave and hybrid states. We then apply the lowest-order coupling of the quark spin and chromomagnetic field at an intermediate time slice to create "mixed" correlators between the S-wave and hybrid states. From the resulting amplitudes, we extract the off-diagonal element of our two-state Hamiltonian. Diagonalizing this Hamiltonian gives us the admixture of a hybrid configuration within the meson ground state. The present effort represents a continuation of previous work: the analysis has been extended to include lattices of varying spacings, source operators having better overlap with the ground states, and the pseudoscalar (along with the vector) channel. Results are presented for bottomonium (Υ,ηb) using three different sets of quenched lattices. We also show results for charmonium (J/ψ,ηc) from one lattice set, although we note that the nonrelativistic approximation is not expected to be very good in this case.

Original languageEnglish (US)
Article number094504
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume68
Issue number9
DOIs
StatePublished - 2003

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S waves
mesons
configurations
ground state
quantum chromodynamics
quarks
expansion
admixtures
correlators
spacing
operators
propagation
approximation

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Hybrid configuration content of heavy S-wave mesons. / Burch, Tommy; Toussaint, William D.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 68, No. 9, 094504, 2003.

Research output: Contribution to journalArticle

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