Sea contributions to the electric polarizability of the hadrons

Abstract

We present a lattice QCD calculation of the polarizability of the neutron and other neutral hadrons that includes the effects of the background field on the sea quarks. This is done by perturbatively reweighting the charges of the sea quarks to couple them to the background field. The main challenge in such a calculation is stochastic estimation of the weight factors, and we discuss the difficulties in this estimation. Here we use an extremely aggressive dilution scheme to reduce the stochastic noise to a manageable level. The pion mass in our calculation is 306 MeV and the lattice size is 3 fm. For neutron, we find that ${\alpha }_E=2.70(55)\ast 10^{-4}f{m}^3$, which is the most precise lattice QCD determination of the polarizability to date that includes sea effects.

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• Electromagnetic form factors at large momenta from lattice QCD
• Double-$\beta$ Decay Matrix Elements from Lattice Quantum Chromodynamics
• Nucleon Polarisabilities at and Beyond Physical Pion Masses
• Octet Baryon Magnetic Moments from Lattice QCD: Approaching Experiment from a Three-Flavor Symmetric Point
• Pion magnetic polarisability using the background field method
• Lattice QCD Inputs for Nuclear Double Beta Decay
• Neutron magnetic polarisability with Landau mode operators
• Finite volume effects on the electric polarizability of neutral hadrons in lattice QCD
• Octet Baryons in Large Magnetic Fields
• Towards charged hadron polarizabilities from four-point functions in lattice QCD
• Chiral Effective Theory Methods and their Application to the Structure of Hadrons from Lattice QCD
• Reconciling the lattice background field method with nonrelativistic QED: Spinor case
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• Nucleon polarizabilities in covariant baryon chiral perturbation theory with explicit $\Delta$ degrees of freedom
• Setting the scale for nHYP fermions with the Lüscher-Weisz gauge action
• Charged particles interaction in both a finite volume and a uniform magnetic field II: topological and analytic properties of a magnetic system
• Pion electric polarizability from lattice QCD
• Dipole polarizabilities of light pseudoscalar mesons within the Domain Model of QCD vacuum
• Energy of a point-like neutron in an external electromagnetic field
• Measuring charged particle polarizabilities on the lattice without background fields