Extracting Nucleon Magnetic Moments and Electric Polarizabilities from Lattice QCD in Background Electric Fields
arXiv:1001.1131 · doi:10.1103/PhysRevD.81.054502
Abstract
Nucleon properties are investigated in background electric fields. As the magnetic moments of baryons affect their relativistic propagation in constant electric fields, electric polarizabilities cannot be determined without knowledge of magnetic moments. This is analogous to the experimental situation, for which determination of polarizabilities from the Compton amplitude requires subtraction of Born terms. With the background field method, we devise combinations of nucleon correlation functions in constant electric fields that isolate magnetic moments and electric polarizabilities. Using an ensemble of anisotropic gauge configurations with dynamical clover fermions, we demonstrate how both observables can be determined from lattice QCD simulations in background electric fields. We obtain results for the neutron and proton, however, our study is currently limited to electrically neutral sea quarks. The value we extract for the nucleon isovector magnetic moment is comparable to those obtained from measuring lattice three-point functions at similar pion masses.
22 pages, 7 figures, v2. discussion improved, some figures updated, results unchanged
References in corpus (9)
- First results from 2+1 dynamical quark flavors on an anisotropic lattice: light-hadron spectroscopy and setting the strange-quark mass
- Tuning for Three-flavors of Anisotropic Clover Fermions with Stout-link Smearing
- High Statistics Analysis using Anisotropic Clover Lattices: (II) Three-Baryon Systems
- Electromagnetic and spin polarisabilities in lattice QCD
- Neutron electric polarizability from unquenched lattice QCD using the background field approach
- Hadrons in Strong Electric and Magnetic Fields
- Flavor Twisted Boundary Conditions and Isovector Form Factors
- Volume Effects for Pion Two-Point Functions in Constant Electric and Magnetic Fields
- Current Renormalization in Finite Volume
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