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Type: Journal article
Title: Neutron magnetic polarizability with Landau mode operators
Author: Bignell, R.
Hall, J.
Kamleh, W.
Leinweber, D.
Burkardt, M.
Citation: Physical Review D, 2018; 98(3):1-10
Publisher: American Physical Society
Issue Date: 2018
ISSN: 2470-0010
Statement of
Ryan Bignell, Jonathan Hall, Waseem Kamleh and Derek Leinweber
Abstract: The application of a uniform background magnetic field makes standard quark operators utilizing gauge-covariant Gaussian smearing inefficient at isolating the ground state nucleon at nontrivial field strengths. In the absence of QCD interactions, Landau modes govern the quark energy levels. There is evidence that residual Landau mode effects remain when the strong interaction is turned on. Here, we introduce novel quark operators constructed from the two-dimensional U(1) Laplacian eigenmodes that describe the Landau levels of a charged particle on a periodic finite lattice. These eigenmode-projected quark operators provide enhanced precision for calculating nucleon energy shifts in a magnetic field. Using asymmetric source and sink operators, we are able to encapsulate the predominant effects of both the QCD and QED interactions in the interpolating fields for the neutron. The neutron magnetic polarizability is calculated using these techniques on the 323×64 dynamical QCD lattices provided by the PACS-CS Collaboration. In conjunction with a chiral effective-field theory analysis, we obtain a neutron magnetic polarizability of βn=2.05(25)(19)×10−4  fm3, where the numbers in parentheses describe statistical and systematic uncertainties.
Rights: Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license.
RMID: 0030097555
DOI: 10.1103/PhysRevD.98.034504
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Appears in Collections:Physics publications

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