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

by Lukas Bovermann, Evgeny Epelbaum, Hermann Krebs, Dean Lee

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Submission summary

Authors (as registered SciPost users): Lukas Bovermann
Submission information
Preprint Link: scipost_201910_00027v1  (pdf)
Date accepted: 2019-12-11
Date submitted: 2019-10-15 02:00
Submitted by: Bovermann, Lukas
Submitted to: SciPost Physics Proceedings
Proceedings issue: 24th European Few Body Conference (EFB2019)
Ontological classification
Academic field: Physics
  • Nuclear Physics - Theory
Approaches: Theoretical, Computational


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.

Published as SciPost Phys. Proc. 3, 052 (2020)

Reports on this Submission

Report 1 by Alejandro Kievsky on 2019-12-10 (Invited Report)

  • Cite as: Alejandro Kievsky, Report on arXiv:scipost_201910_00027v1, delivered 2019-12-10, doi: 10.21468/SciPost.Report.1383


In this paper the authors show a generalization of the lattice method to obtain the scattering matrix with arbitrary number of coupled channels. The manuscript is well written and the argument is of particular interest since applications of the lattice method to nuclear physics is particularly important. I recommend publication as it is.

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