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.
The three-pion $K$-matrix at NLO in ChPT
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abstract
The three-particle $K$-matrix, $\mathcal{K}_{\mathrm{df},3}$, is a scheme-dependent quantity that parametrizes short-range three-particle interactions in the relativistic-field-theory three-particle finite-volume formalism. In this work, we compute its value for systems of three pions in all isospin channels through next-to-leading order in Chiral Perturbation Theory, generalizing previous work done at maximum isospin. We obtain analytic expressions through quadratic order (or cubic order, in the case of zero isospin) in the expansion about the three-pion threshold.
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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.