Three-particle finite-volume formalism for π+π+K+ and related systems
| Autor: | Tyler D. Blanton, Stephen R. Sharpe |
|---|---|
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Physical Review D. 104 |
| ISSN: | 2470-0029 2470-0010 |
| DOI: | 10.1103/physrevd.104.034509 |
| Popis: | We consider three-particle systems consisting of two identical particles and a third that is different, with all being spinless. Examples include ${\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{+}{K}^{+}$ and ${K}^{+}{K}^{+}{\ensuremath{\pi}}^{+}$. We derive the formalism necessary to extract two- and three-particle infinite-volume scattering amplitudes from the spectrum of such systems in finite volume. We use a relativistic formalism based on an all-orders diagrammatic analysis in generic effective field theory, adopting the methodology used recently to study the case of three nondegenerate particles. We present both a direct derivation, and also a cross-check based on an appropriate limit and projection of the fully nondegenerate formalism. We also work out the threshold expansions for the three-particle K matrix that will be needed in practical applications, both for systems with two identical particles plus a third, and also for the fully nondegenerate theory. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|