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arXiv 2007.161902020-07hep-lathep-phnucl-th

Equivalence of relativistic three-particle quantization conditions

Tyler D. Blanton, Stephen R. Sharpe

备注：: 13 pages, 2 appendices; v2--added clarifications, corrected typos; v3--further clarifications added and typos corrected, results unchanged; matches published version
发表信息：: Phys. Rev. D 102, 054515 (2020)
DOI：: 10.1103/PhysRevD.102.054515

英文摘要：

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 Döring (Refs.[3,4]). It also provides a generalization of the latter approach to arbitrary angular momenta of two-particle subsystems.

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