Equivalence of relativistic three-particle quantization conditions
Abstract
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.
Keywords
Cite
@article{arxiv.2007.16190,
title = {Equivalence of relativistic three-particle quantization conditions},
author = {Tyler D. Blanton and Stephen R. Sharpe},
journal= {arXiv preprint arXiv:2007.16190},
year = {2020}
}
Comments
13 pages, 2 appendices; v2--added clarifications, corrected typos; v3--further clarifications added and typos corrected, results unchanged; matches published version