Relating the finite-volume spectrum and the two-and-three-particle S matrix for relativistic systems of identical scalar particles
By R. Briceño, M. Hansen, Stephen R. Sharpe. 2017
165 citations recorded by the source corpus.
Working in relativistic quantum field theory, we derive the quantization condition satisfied by coupled two- and three-particle systems of identical scalar particles confined to a cubic spatial volume with periodicity $L$. This gives the relation between the finite-volume spectrum and the infinite-volume $\textbf 2 \to \textbf 2$, $\textbf 2 \to \textbf 3$ and $\textbf 3 \to \textbf 3$ scattering amplitudes for such theories. The result holds for relativistic systems composed of scalar particles with nonzero mass $m$, whose center of mass energy lies below the four-particle threshold, and for which the two-particle $K$ matrix has no singularities below the three-particle threshold. The quantization condition is exact up to corrections of the order $\mathcal{O}(e^{-mL})$ and holds for any choice of total momenta satisfying the boundary conditions.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/93411173cd893cd400ac828343559e1ac72142fe
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In Nuclear and High Energy Physics
Citations in the corpus
- Scattering processes and resonances from lattice QCD (2017, methodology): “The current state of the art formalism is outlined in (Briceño et al., 2017), where a quantization condition was derived relating the finite-volume spectrum to scattering amplitudes for systems where two- and threeparticle channels are coupled, for energies below the fourparticle threshold.”
- The XYZ states: Experimental and theoretical status and perspectives (2019, unknown): “[858–877].”