Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude
By M. Hansen, Stephen R. Sharpe. 2015
167 citations recorded by the source corpus.
In this article we complete our formalism relating the finite-volume energy spectrum of a scalar quantum field theory to the three-to-three scattering amplitude, ${\cal M}_3$. In previous work we found a quantization condition relating the spectrum to a non-standard infinite-volume quantity, denoted ${\cal K}_{{\rm df},3}$. Here we present the relation between ${\cal K}_{{\rm df},3}$ and ${\cal M}_3$. We then discuss briefly how our now completed formalism can be practically implemented to extract ${\cal M}_3$ from the finite-volume energy spectrum.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/fbfa7a5a99089abbdff577288888802aef3ef649
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In Nuclear and High Energy Physics
Citations in the corpus
- Hadronic molecules (2017, background): “For the discussion of hadronic molecules (or most other hadron resonances), this method needs to be extended in various directions, such as considering higher partial waves and spins (Bernard et al., 2008; Briceño and Davoudi, 2013a; Göckeler et al., 2012; König et al., 2011, 2012; Luu and Savage”
- Scattering processes and resonances from lattice QCD (2017, methodology): “In (Hansen and Sharpe, 2014, 2015) it was shown that poles in the K-matrix can lead to power-law finite-volume effects which have thus far not been accounted for.”
- The XYZ states: Experimental and theoretical status and perspectives (2019, unknown): “[858–877].”