TY  - JOUR
AU  - Li, Ning
AU  - Elhatisari, Serdar
AU  - Epelbaum, Evgeny
AU  - Lee, Dean
AU  - Lu, Bingnan
AU  - Meißner, Ulf-G.
TI  - Galilean invariance restoration on the lattice
JO  - Physical review / C
VL  - 99
IS  - 6
SN  - 2469-9985
CY  - Woodbury, NY
PB  - Inst.
M1  - FZJ-2020-00548
SP  - 064001
PY  - 2019
AB  - 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000473022100001
DO  - DOI:10.1103/PhysRevC.99.064001
UR  - https://juser.fz-juelich.de/record/873100
ER  -