# Faculty of Mathematics

## Research interests

I work in the field of hadron spectroscopy which can be understood using Quantum Chromodynamics (QCD), part of the Standard Model of Particle Physics. QCD is a strongly-coupled field theory at the energies where hadrons arise, meaning that perturbation theory cannot be applied, posing a significant calculational challenge. One method which has shown great promise in recent years is Lattice QCD, where the quantum fluctuations in a finite volume are sampled numerically using Monte-Carlo methods, to extract finite volume spectra. Using a mapping originally derived by Lüscher and extended by many others, these finite volume energy levels can be used to constrain infinite volume hadron scattering amplitudes. My current research is on numerical extractions of coupled-channel scattering amplitudes, which are in turn used to understand hadron resonances as poles in the complex energy plane.

## Career

 2019-present Royal Society University Research Fellow, DAMTP, University of Cambridge, UK 2018-2019 RS-SFI University Research Fellow, School of Mathematics, Trinity College Dublin, Ireland 2016-2018 Postdoc, School of Mathematics, Trinity College Dublin, Ireland 2015-2016 Postdoc, DAMTP, University of Cambridge, UK 2012-2015 Postdoc, Old Dominion University (and Jefferson Lab), Virginia, USA 2010-2012 Postdoc, Argonne National Laboratory, Illinois, USA 2006-2010 PhD student, IPPP, University of Durham, UK

## Publications

Resonances in coupled-channel scattering
DJ Wilson
– Proceedings of Science
(2017)
Part F128557,
016
Isoscalar $ππ$ scattering and the $σ$ meson resonance from QCD
RA Briceño, JJ Dudek, RG Edwards, DJ Wilson
– Physical Review Letters
(2017)
118,
022002
Coupled-channel Dπ, Dη and D s K ¯ ${D}_s\overline{K}$ scattering from lattice QCD
G Moir, M Peardon, SM Ryan, CE Thomas, DJ Wilson, on behalf of the Hadron Spectrum collaboration
– Journal of High Energy Physics
(2016)
2016,
11
ππ→πγ$^{∗}$ amplitude and the resonant ρ→πγ$^{∗}$ transition from lattice QCD
RA Briceño, JJ Dudek, RG Edwards, CJ Shultz, CE Thomas, DJ Wilson
– Physical Review D - Particles, Fields, Gravitation and Cosmology
(2016)
93,
114508
Connecting physical resonant amplitudes and lattice QCD
DR Bolton, RA Briceño, DJ Wilson
– Physics Letters B
(2016)
757,
50
From QCD to physical resonances
DR Bolton, RA Briceño, DJ Wilson
(2016)
1735,
030011
An a$_{0}$ resonance in strongly coupled πη, K$\bar K$ scattering from lattice QCD
JJ Dudek, RG Edwards, DJ Wilson
– Physical Review D
(2016)
93,
094506
The resonant $π^+γ\toπ^+π^0$ amplitude from Quantum Chromodynamics
RA Briceño, JJ Dudek, RG Edwards, CJ Shultz, CE Thomas, DJ Wilson, Hadron Spectrum Collaboration
– Phys Rev Lett
(2015)
115,
242001
Coupled $ππ, K\overline{K}$ scattering in $P$-wave and the $ρ$ resonance from lattice QCD
DJ Wilson, RA Briceño, JJ Dudek, RG Edwards, CE Thomas
– Physical Review D - Particles, Fields, Gravitation and Cosmology
(2015)
92,
094502
Resonances in coupled $πK, ηK$ scattering from lattice QCD
DJ Wilson, JJ Dudek, RG Edwards, CE Thomas
– Physical Review D - Particles, Fields, Gravitation and Cosmology
(2015)
91,
054008
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## Research Group

High Energy Physics

B2.03

01223 330853