# Three-body spectrum in a finite volume: the role of cubic symmetry

@inproceedings{Doring2018ThreebodySI, title={Three-body spectrum in a finite volume: the role of cubic symmetry}, author={Michael Doring and H. Hammer and Maxim Mai and J.-Y. Pang and Akaki Rusetsky and Jianda Wu}, year={2018} }

- Published 2018
DOI:10.1103/PhysRevD.97.114508

The three-particle quantization condition is partially diagonalized in the center-of-mass frame by using cubic symmetry on the lattice. To this end, instead of spherical harmonics, the kernel of the Bethe-Salpeter equation for particle-dimer scattering is expanded in the basis functions of different irreducible representations of the octahedral group. Such a projection is of particular importance for the three-body problem in the finite volume due to the occurrence of three-body singularities… CONTINUE READING

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