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

Abstract

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.

Authors:
 [1];  [1];  [1];  [2]
  1. Ruhr University Bochum
  2. Michigan State University
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1601904
Grant/Contract Number:  
AC52-06NA25396; SC0018638
Resource Type:
Published Article
Journal Name:
SciPost Physics Proceedings
Additional Journal Information:
Journal Name: SciPost Physics Proceedings Journal Issue: 3; Journal ID: ISSN 2666-4003
Publisher:
Stichting SciPost
Country of Publication:
Country unknown/Code not available
Language:
English

Citation Formats

Bovermann, Lukas, Epelbaum, Evgeny, Krebs, Hermann, and Lee, Dean. Lattice phase shifts and mixing angles for an arbitrary number of coupled channels. Country unknown/Code not available: N. p., 2020. Web. doi:10.21468/SciPostPhysProc.3.052.
Bovermann, Lukas, Epelbaum, Evgeny, Krebs, Hermann, & Lee, Dean. Lattice phase shifts and mixing angles for an arbitrary number of coupled channels. Country unknown/Code not available. doi:10.21468/SciPostPhysProc.3.052.
Bovermann, Lukas, Epelbaum, Evgeny, Krebs, Hermann, and Lee, Dean. Thu . "Lattice phase shifts and mixing angles for an arbitrary number of coupled channels". Country unknown/Code not available. doi:10.21468/SciPostPhysProc.3.052.
@article{osti_1601904,
title = {Lattice phase shifts and mixing angles for an arbitrary number of coupled channels},
author = {Bovermann, Lukas and Epelbaum, Evgeny and Krebs, Hermann and Lee, Dean},
abstractNote = {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.},
doi = {10.21468/SciPostPhysProc.3.052},
journal = {SciPost Physics Proceedings},
number = 3,
volume = ,
place = {Country unknown/Code not available},
year = {2020},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.21468/SciPostPhysProc.3.052

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