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Higher order finite volume quantization conditions for two spinless particles
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abstract
Lattice QCD calculations of scattering phaseshifts and resonance parameters in the two-body sector are becoming precision studies. Early calculations employed L\"uscher's formula for extracting these quantities at lowest order. As the calculations become more ambitious, higher-order relations are required. In this study we present a way to validate the higher-order quantization conditions. This is an important step given the involved derivations of these formulae. We derive and validate quantization conditions up to $\ell=5$ partial waves in both cubic and elongated geometries, and for states zero and non-zero total momentum. For all 45 quantization conditions we considered (22 in cubic box, 23 in elongated box) we find perfect agreement.
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Cited by 1 Pith paper
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Toward extracting scattering phase shift from integrated correlation functions III: coupled-channels
For coupled-channel systems, the trapped integrated correlation function difference converges to a weighted integral over the sum of the two channel phase shifts, independent of inelasticity.
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