Equivalence of relativistic three-particle quantization conditions
| Autor: | Stephen R. Sharpe, Tyler D. Blanton |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics
Unitarity Nuclear Theory 010308 nuclear & particles physics High Energy Physics - Lattice (hep-lat) FOS: Physical sciences 01 natural sciences Scattering amplitude Nuclear Theory (nucl-th) Quantization (physics) High Energy Physics - Phenomenology Unitary representation High Energy Physics - Phenomenology (hep-ph) High Energy Physics - Lattice 0103 physical sciences Effective field theory 010306 general physics Nuclear theory Identical particles R-matrix Mathematical physics |
| Zdroj: | Physical Review |
| Popis: | We show that a recently derived alternative form of the relativistic three-particle quantization condition for identical particles can be rewritten in terms of the R matrix introduced to give a unitary representation of the infinite-volume three-particle scattering amplitude. Combined with earlier work, this shows the equivalence of the relativistic effective field theory approach of Hansen and Sharpe (Refs.[1,2]) and the "finite-volume unitarity" approach of Mai and D\"oring (Refs.[3,4]). It also provides a generalization of the latter approach to arbitrary angular momenta of two-particle subsystems. Comment: 13 pages, 2 appendices; v2--added clarifications, corrected typos; v3--further clarifications added and typos corrected, results unchanged; matches published version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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