The optical potential on the lattice

Agadjanov, Dimitri; Döring, Michael; Mai, Maxim; Meißner, Ulf‐G.; Rusetsky, Akaki

doi:10.1007/jhep06(2016)043

Cited by 39 publications

(42 citation statements)

References 79 publications

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“…[18] to analyze P -wave ππ scattering and to study the properties of the ρ-meson. When the number of coupled channels is large, it might be advantageous to directly extract the real and imaginary parts of the optical potential in selected channels [19] (note also the recent work [20], which aims at the extraction of the total width of the resonances decaying into the multiple channels). An alternative scheme aims at the extraction…”

Section: Introductionmentioning

confidence: 99%

Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of data

Hammer

Pang²,

Rusetsky³

2017

J. High Energ. Phys.

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210

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Abstract:We derive the three-body quantization condition in a finite volume using an effective field theory in the particle-dimer picture. Moreover, we consider the extraction of physical observables from the lattice spectrum using the quantization condition. To illustrate the general framework, we calculate the volume-dependent three-particle spectrum in a simple model both below and above the three-particle threshold. The relation to existing approaches is discussed in detail.

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Section: Introductionmentioning

confidence: 99%

Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of data

Hammer

Pang²,

Rusetsky³

2017

J. High Energ. Phys.

Self Cite

195

210

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“…An alternative method for extraction of infinite volume quantities from finite volume results was proposed in Ref. [15].…”

Section: Introductionmentioning

confidence: 99%

Chiral extrapolations of the ρ(770) meson in Nf=2+1 lattice QCD simulations

Molina

Döring

et al. 2017

Phys. Rev. D

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Recent N f = 2 + 1 lattice data for meson-meson scattering in p-wave and isospin I = 1 are analyzed using a unitarized model inspired by Chiral Perturbation Theory in the inverse-amplitude formulation for two and three flavors. Chiral extrapolations are performed that postdict phase shifts extracted from experiment quite well. In addition, the low-energy constants are compared to the ones from a recent analysis of N f = 2 lattice QCD simulations to check for the consistency of the hadronic model used here. Some inconsistencies are detected in the fits to N f = 2 + 1 data, in contrast to the previous analysis of N f = 2 data.

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“…However, the method of Ref. [36] differs, for example, in that it relies on extracting finite-volume energy levels and requires twisted boundary conditions to sample the finite-volume optical potential.…”

mentioning

confidence: 99%

From deep inelastic scattering to heavy-flavor semileptonic decays: Total rates into multihadron final states from lattice QCD

2017

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We present a new technique for extracting decay and transition rates into final states with any number of hadrons. The approach is only sensitive to total rates, in which all out-states with a given set of QCD quantum numbers are included. For processes involving photons or leptons, differential rates with respect to the non-hadronic kinematics may also be extracted. Our method involves constructing a finite-volume Euclidean four-point function, whose corresponding spectral function measures the decay and transition rates in the infinite-volume limit. This requires solving the inverse problem of extracting the spectral function from the correlator and also necessitates a smoothing procedure so that a well-defined infinite-volume limit exists. Both of these steps are accomplished by the Backus-Gilbert method and, as we show with a numerical example, reasonable precision can be expected in cases with multiple open decay channels. Potential applications include nucleon structure functions and the onset of the deep inelastic scattering regime, as well as semi-leptonic D and B decay rates.

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The optical potential on the lattice

Cited by 39 publications

References 79 publications

Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of data

Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of data

Chiral extrapolations of the ρ(770) meson in Nf=2+1 lattice QCD simulations

From deep inelastic scattering to heavy-flavor semileptonic decays: Total rates into multihadron final states from lattice QCD

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