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Lattice phase shifts and mixing angles for an arbitrary number of coupled channels

Lukas Bovermann, Evgeny Epelbaum, Hermann Krebs, Dean Lee

SciPost Phys. Proc. 3, 052 (2020) · published 27 February 2020

Proceedings event

24th European Few Body Conference


We present a lattice method for determining scattering phase shifts and mixing angles for the case of an arbitrary number of coupled channels. The proposed method combines a spherical wall boundary condition and a channel-mixing auxiliary potential to extract the full-rank S-matrix from the radial wave functions. We consider the scattering problem of two spin-1 bosons interacting with a test potential involving up to four coupled channels. For this benchmark system, the phase shifts and mixing angles are shown to agree on the lattice and in the continuum. Our method should allow to extend previous two-channel nuclear lattice EFT simulations to mixing of more than two partial waves.

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