This title appears in the Scientific Report :
2019
Please use the identifier:
http://hdl.handle.net/2128/24207 in citations.
Please use the identifier: http://dx.doi.org/10.1103/PhysRevC.99.064001 in citations.
Galilean invariance restoration on the lattice
Galilean invariance restoration on the lattice
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...
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Personal Name(s): | Li, Ning |
---|---|
Elhatisari, Serdar / Epelbaum, Evgeny / Lee, Dean / Lu, Bingnan / Meißner, Ulf-G. (Corresponding author) | |
Contributing Institute: |
Theorie der Starken Wechselwirkung; IAS-4 JARA - HPC; JARA-HPC Theorie der starken Wechselwirkung; IKP-3 |
Published in: | Physical Review C Physical review / C, 99 99 (2019 2019) 6 6, S. 064001 064001 |
Imprint: |
Woodbury, NY
Inst.
2019
2019-06-26 2019-06-01 |
DOI: |
10.1103/PhysRevC.99.064001 |
Document Type: |
Journal Article |
Research Program: |
Nuclear Lattice Simulations Computational Science and Mathematical Methods |
Link: |
OpenAccess OpenAccess OpenAccess OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1103/PhysRevC.99.064001 in citations.
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. |