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B1 resonance in coupled πω, πφ scattering from lattice QCD

Accepted version
Peer-reviewed

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Type

Article

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Authors

Woss, AJ 
Thomas, CE 
Dudek, JJ 
Edwards, RG 
Wilson, DJ 

Abstract

We present the first lattice QCD calculation of coupled πω and πϕ scattering, incorporating coupled S and D-wave πω in JP=1+. Finite-volume spectra in three volumes are determined via a variational analysis of matrices of two-point correlation functions, computed using large bases of operators resembling single-meson, two-meson and three-meson structures, with the light-quark mass corresponding to a pion mass of mπ≈391 MeV. Utilizing the relationship between the discrete spectrum of finite-volume energies and infinite-volume scattering amplitudes, we find a narrow axial-vector resonance (JPC=1+−), the analogue of the b1 meson, with mass mR≈1380 MeV and width ΓR≈91 MeV. The resonance is found to couple dominantly to S-wave πω, with a much-suppressed coupling to D-wave πω, and a negligible coupling to πϕ consistent with the `OZI rule'. No resonant behavior is observed in πϕ, indicating the absence of a putative low-mass Zs analogue of the Zc claimed in πJ/ψ. In order to minimally present the contents of a unitary three-channel scattering matrix, we introduce an n-channel generalization of the traditional two-channel Stapp parameterization.

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Keywords

hep-lat, hep-lat, hep-ph

Journal Title

Physical Review D

Conference Name

Journal ISSN

2470-0010
2470-0029

Volume Title

100

Publisher

American Physical Society (APS)

Rights

All rights reserved
Sponsorship
Science and Technology Facilities Council (ST/P000681/1)
STFC (1628534)
Science and Technology Facilities Council (ST/R002452/1)
Science and Technology Facilities Council (ST/R00689X/1)
Science and Technology Facilities Council (ST/M007065/1)
STFC (ST/M007073/1)
STFC (ST/T001550/1)