Efficient operators for studying higher partial waves

¹ Special Research Centre for the Subatomic Structure of Matter (CSSM), Department of Physics, University of Adelaide, Adelaide, South Australia 5005, Australia
² HISKP (Theory) and BCTP, University of Bonn, Germany
³ Deutsches Elektronen-Synchrotron DESY, 22603 Hamburg, Germany

^* Speaker, e-mail: jiajun.wu@adelaide.edu.au

Published online: 26 March 2018

Abstract

An extended multi-hadron operator is developed to extract the spectra of irreducible representations in the finite volume. The irreducible representations of the cubic group are projected using a coordinate-space operator. The correlation function of this operator is computationally effcient to extract lattice spectra. In particular, this new formulation only requires propagator inversions from two distinct locations, at fixed physical separation. We perform a proof-of-principle study on a 24³ × 48 lattice volume with m_π ≈ 900 MeV by isolating the spectra of A⁺₁, E⁺ and T⁺₂ of the ππ system with isospin-2 in the rest frame.