Three-particle finite-volume formalism for π+π+K+ and related systems
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In this article, the authors consider three-particle systems consisting of two identical particles and a third that is different, with all being spinless, and derive the formalism necessary to extract two-and threeparticle infinite-volume scattering amplitudes from the spectrum of such systems in finite volume.Citations
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References
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Relativistic, model-independent, three-particle quantization condition
TL;DR: In this paper, a generalization of Luescher's relation between the finite-volume spectrum and scattering amplitudes to the case of three particles is presented, where the couplings are arbitrary aside from a Z2 symmetry that removes vertices with an odd number of particles.
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Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude
TL;DR: In this article, the authors complete their formalism relating the finite-volume energy spectrum of a scalar quantum field theory to the three-to-three scattering amplitude, denoted as M 3.
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Three-particle scattering amplitudes from a finite volume formalism
Raúl A. Briceño,Zohreh Davoudi +1 more
TL;DR: In this article, a quantization condition for the spectrum of a system composed of three identical bosons in a finite volume with periodic boundary conditions is presented, which gives a relation between the finite volume spectrum and infinite volume scattering amplitudes.
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Three particles in a finite volume
Kathryn Polejaeva,Akaki Rusetsky +1 more
TL;DR: In this article, a generalized version of the Luscher formula, which includes three-particle inelastic channels, was derived within the non-relativistic potential scattering theory and the Faddeev equations in a finite volume were discussed in detail.
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Three particles in a finite volume
TL;DR: In this paper, the volume-dependence of a shallow three-particle bound state in the cubic box with a size $L$ is studied, and it is shown that, in the unitary limit, the energy-level shift from the infinite-volume position is given by Δ E =c (kappa^2/m),(\kappa L)^{-3/2}|A|^2 \exp(-2\kappa l/\sqrt{3})$, where δ E denotes the three-body analog of the asym