Galilean invariance restoration on the lattice

Li, Ning; Elhatisari, Serdar; Epelbaum, Evgeny; Lee, Dean; Lu, Bingnan; Meißner, Ulf-G

doi:10.1103/physrevc.99.064001

Galilean invariance restoration on the lattice

Journal Article · Wed Jun 26 00:00:00 EDT 2019 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.99.064001· OSTI ID:1613010

^[1]; Elhatisari, Serdar ^[2]; Epelbaum, Evgeny ^[3]; Lee, Dean ^[4]; Lu, Bingnan ^[5]; Meißner, Ulf-G ^[6]

Michigan State Univ., East Lansing, MI (United States); DOE/OSTI
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)
Michigan State Univ., East Lansing, MI (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.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Michigan State Univ., East Lansing, MI (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: AC52-06NA25396; SC0018638

OSTI ID:: 1613010

Alternate ID(s):: OSTI ID: 1546310

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 6 Vol. 99; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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