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Equivalence of relativistic three-particle quantization conditions
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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.
Forward citations
Cited by 2 Pith papers
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Coupled-channel approach to isotensor $\pi\pi\pi$ scattering from lattice QCD
The I=2 three-pion spectrum from lattice QCD is described by a repulsive rho-pi S-wave interaction, consistent with a leading-order effective Lagrangian.
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Implementing the RFT finite-volume formalism for three pions across all non-maximal isospins
A numerical implementation of the RFT quantization condition yields finite-volume three-pion spectra for isospins 0, 1, and 2 with three-particle interactions turned off.
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