% IMPORTANT: The following is UTF-8 encoded. This means that in the presence % of non-ASCII characters, it will not work with BibTeX 0.99 or older. % Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or % “biber”. @ARTICLE{Li:873100, author = {Li, Ning and Elhatisari, Serdar and Epelbaum, Evgeny and Lee, Dean and Lu, Bingnan and Meißner, Ulf-G.}, title = {{G}alilean invariance restoration on the lattice}, journal = {Physical review / C}, volume = {99}, number = {6}, issn = {2469-9985}, address = {Woodbury, NY}, publisher = {Inst.}, reportid = {FZJ-2020-00548}, pages = {064001}, year = {2019}, abstract = {We consider the breaking of Galilean invariance due to different lattice cutoff effects in moving frames and a nonlocal smearing parameter, which is used in the construction of the nuclear lattice interaction. The dispersion relation and neutron-proton scattering phase shifts are used to investigate the Galilean invariance breaking effects and ways to restore it. For S-wave channels, 1S0 and 3S1, we present the neutron-proton scattering phase shifts in moving frames calculated using both Lüscher's formula and the spherical wall method, as well as the dispersion relation. For the P and D waves, we present the neutron-proton scattering phase shifts in moving frames calculated using the spherical wall method. We find that the Galilean invariance breaking effects stemming from the lattice artifacts partially cancel those caused by the nonlocal smearing parameter. Due to this cancellation, the Galilean invariance breaking effect is small, and the Galilean invariance can be restored by introducing Galilean invariance restoration operators.}, cin = {IAS-4 / IKP-3 / JARA-HPC}, ddc = {530}, cid = {I:(DE-Juel1)IAS-4-20090406 / I:(DE-Juel1)IKP-3-20111104 / $I:(DE-82)080012_20140620$}, pnm = {511 - Computational Science and Mathematical Methods (POF3-511) / Nuclear Lattice Simulations $(jara0015_20130501)$}, pid = {G:(DE-HGF)POF3-511 / $G:(DE-Juel1)jara0015_20130501$}, typ = {PUB:(DE-HGF)16}, UT = {WOS:000473022100001}, doi = {10.1103/PhysRevC.99.064001}, url = {https://juser.fz-juelich.de/record/873100}, }