Galilean invariance restoration on the lattice
- Michigan State Univ., East Lansing, MI (United States)
- Univ. Bonn (Germany); Karamanoglu Mehmetbey Univ. (Turkey)
- Ruhr Univ. Bochum (Germany)
- Michigan State Univ., East Lansing, MI (United States); North Carolina State Univ., Raleigh, NC (United States)
- Univ. Bonn (Germany); Forschungszentrum Jülich (Germany); Tbilisi State Univ. (Georgia)
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. Furthermore, 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.
- Research Organization:
- Michigan State Univ., East Lansing, MI (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- Grant/Contract Number:
- SC0018638; AC52-06NA25396
- OSTI ID:
- 1613010
- Alternate ID(s):
- OSTI ID: 1546310
- Journal Information:
- Physical Review. C, Vol. 99, Issue 6; ISSN 2469-9985
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice
|
journal | December 2019 |
Renormalization of a Contact Interaction on a Lattice | preprint | January 2019 |
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