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Volume 256 - 34th annual International Symposium on Lattice Field Theory (LATTICE2016) - Hadron Spectroscopy and Interactions
Utilising optimised operators and distillation to extract scattering phase shifts
A. Woss,* C. Thomas on behalf of the Hadron Spectrum Collaboration
*corresponding author
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Pre-published on: 2016-12-27 09:53:30
Published on: 2017-03-24 10:20:24
Abstract
In this investigation, we examine how the precision of energy spectra and scattering phase shifts, extracted in lattice QCD, depend upon the degree of distillation type smearing \cite{Peardon:2009gh}. We use the variational method to extract energy spectra for the isospin-1, $J^{PC}=1^{--}$ channel and use the L\"{u}scher method to compute scattering amplitudes, relevant for the $\rho$ resonance, in $\pi\pi$ elastic scattering. Optimised interpolating operators for a single ground state pion are constructed and these are used to construct two pion operators. Calculations are performed on an anisotropic lattice with a pion mass of $m_\pi=236$MeV. We provide a comprehensive comparison of energy spectra and scattering phase shifts across distillation spaces of varying rank.
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