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2018

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

Döring, M., Hammer, H. -W., Mai, M. et al.

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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 above breakup.
Additionally, we study the numerical solution and properties of such a projected quantization condition in a simple model.

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