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Isospin-1/2 Dπ scattering and the lightest D0∗ resonance from lattice QCD

Accepted version
Peer-reviewed

Type

Article

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Authors

Gayer, L 
Lang, N 
Tims, D 

Abstract

Isospin-1/2 Dπ scattering amplitudes are computed using lattice QCD, working in a single volume of approximately (3.6fm)3 and with a light quark mass corresponding to mπ≈239 MeV. The spectrum of the elastic Dπ energy region is computed yielding 20 energy levels. Using the L"uscher finite-volume quantisation condition, these energies are translated into constraints on the infinite-volume scattering amplitudes and hence enable us to map out the energy dependence of elastic Dπ scattering. By analytically continuing a range of scattering amplitudes, a D0∗ resonance pole is consistently found strongly coupled to the S-wave Dπ channel, with a mass m≈2200 MeV and a width Γ≈400 MeV. Combined with earlier work investigating the Ds0, and D0∗ with heavier light quarks, similar couplings between each of these scalar states and their relevant meson-meson scattering channels are determined. The mass of the D0∗ is consistently found well below that of the Ds0, in contrast to the currently reported experimental result.

Description

Keywords

Lattice QCD, Lattice Quantum Field Theory

Journal Title

Journal of High Energy Physics

Conference Name

Journal ISSN

1029-8479
1029-8479

Volume Title

2021

Publisher

Springer Science and Business Media LLC

Rights

All rights reserved
Sponsorship
STFC (ST/T000694/1)
Royal Society (URF/T/191001)