The Optical Potential on the Lattice

Abstract

The extraction of hadron-hadron scattering parameters from lattice data by using the Lüscher approach becomes increasingly complicated in the presence of inelastic channels. We propose a method for the direct extraction of the complex hadron-hadron optical potential on the lattice, which does not require the use of the multi-channel Lüscher formalism. Moreover, this method is applicable without modifications if some inelastic channels contain three or more particles.

arXiv comment26 pages, 12 figures

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Cited by in corpus (26)

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• Scattering processes and resonances from lattice QCD
• Three particle quantization condition in a finite volume: 2. general formalism and the analysis of data
• Three-body Unitarity in the Finite Volume
• Three-body spectrum in a finite volume: the role of cubic symmetry
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• Two- and three-pion finite-volume spectra at maximal isospin from lattice QCD
• From deep inelastic scattering to heavy-flavor semi-leptonic decays: Total rates into multi-hadron final states from lattice QCD
• Towards a theory of hadron resonances
• Three-body unitarity versus finite-volume ${\pi }^{+}{\pi }^{+}{\pi }^{+}$ spectrum from lattice QCD
• Three-body Unitarity with Isobars Revisited
• Scattering amplitudes from finite-volume spectral functions
• Three-body interactions from the finite-volume QCD spectrum
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• Chiral study of the $a_0(980)$ resonance and $\pi \eta$ scattering phase shifts in light of a recent lattice simulation
• Variational approach to $N$-body interactions in finite volume
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• A lattice model of heavy-light three-body system
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• Visualizing resonances in finite volume
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