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 channelmixing auxiliary potential to extract the fullrank Smatrix from the radial wave functions. We consider the scattering problem of two spin1 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 twochannel nuclear lattice EFT simulations to mixing of more than two partial waves.
 Authors:

 Ruhr University Bochum
 Michigan State University
 Publication Date:
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1601904
 Grant/Contract Number:
 AC5206NA25396; SC0018638
 Resource Type:
 Published Article
 Journal Name:
 SciPost Physics Proceedings
 Additional Journal Information:
 Journal Name: SciPost Physics Proceedings Journal Issue: 3; Journal ID: ISSN 26664003
 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 channelmixing auxiliary potential to extract the fullrank Smatrix from the radial wave functions. We consider the scattering problem of two spin1 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 twochannel 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}
}
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DOI: 10.21468/SciPostPhysProc.3.052
DOI: 10.21468/SciPostPhysProc.3.052
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