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 Refs. [M. T. Hansen and S. R. Sharpe, Phys. Rev. D 90, 116003 (2014); M. T. Hansen and S. R. Sharpe, Phys. Rev. D 92, 114509 (2015)] and the “finite-volume unitarity” approach of Refs. [M. Mai and M. Döring, Eur. Phys. J. A 53, 240 (2017); M. Mai and M. Döring, Phys. Rev. Lett. 122, 062503 (2019)]. It also provides a generalization of the latter approach to arbitrary angular momenta of two-particle subsystems.
- Received 13 August 2020
- Accepted 15 September 2020
DOI:https://doi.org/10.1103/PhysRevD.102.054515
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society