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Description
Hadronic scattering amplitudes determined in Lattice QCD using Lüscher’s formalism depend crucially on the finite-volume energy spectrum. This work presents some of the technical details of the determination of such spectra within the study of the two-poles nature of the $\Lambda(1405)$ from Lattice QCD. Starting with the extraction of energy states from correlation functions, the GEVP technique has shown to be a useful tool to investigate the desired states, and two independent analyses were done in parallel, the so-called: Single Pivot and Rolling Pivot. This procedure was followed by a detailed analysis of the fits to ratios of correlators, which results in the energy difference of a certain level to the close-by energies of non-interacting mesons. The final results were in good agreement between both implementations and were ultimately used as input for the computation of the scattering amplitude.
| Topical area | Hadronic and Nuclear Spectrum and Interactions |
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