Journal Article

FZJ-2020-00548

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Galilean invariance restoration on the lattice

Li, N. ; Elhatisari, S. ; Epelbaum, E.FZJ* ; Lee, D.FZJ* ; Lu, B. ; Meißner, U.-G. (Corresponding author)FZJ*

2019
Inst. Woodbury, NY

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Please use a persistent id in citations: http://hdl.handle.net/2128/24207  doi:10.1103/PhysRevC.99.064001

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.

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Contributing Institute(s):

1. Theorie der Starken Wechselwirkung (IAS-4)
2. Theorie der starken Wechselwirkung (IKP-3)
3. JARA - HPC (JARA-HPC)

Research Program(s):

1. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)
2. Nuclear Lattice Simulations (jara0015_20130501) (jara0015_20130501)

Appears in the scientific report 2019

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Database coverage:
; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Web of Science Core Collection

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