Finite volume effects on the electric polarizability of neutral hadrons in lattice QCD
arXiv:1606.07928 · doi:10.1103/PhysRevD.94.074506
Abstract
We study the finite volume effects on the electric polarizability for the neutron, neutral pion, and neutral kaon using eight dynamically generated two-flavor nHYP-clover ensembles at two different pion masses: 306(1) and 227(2) MeV. An infinite volume extrapolation is performed for each hadron at both pion masses. For the neutral kaon, finite volume effects are relatively mild. The dependence on the quark mass is also mild and a reliable chiral extrapolation can be performed along with the infinite volume extrapolation. Our result is $α_{K^0}^\mbox{phys}=0.356(74) \times 10^{-4} \mbox{fm}^3$. In contrast, for neutron the electric polarizability depends strongly on the volume. After removing the finite volume corrections, our neutron polarizability results are in good agreement with PT. For the connected part of the neutral pion polarizability, the negative trend persists, and it is not due to finite volume effects, but likely sea quark charging effects.
9 pages, 6 figures, 6 tables. Version to appear in Phys. Rev. D
References in corpus (10)
- Using effective field theory to analyse low-energy Compton scattering data from protons and light nuclei
- Compton scattering from the proton in an effective field theory with explicit Delta degrees of freedom
- Extracting Nucleon Magnetic Moments and Electric Polarizabilities from Lattice QCD in Background Electric Fields
- Electromagnetic and spin polarisabilities in lattice QCD
- Neutron electric polarizability from unquenched lattice QCD using the background field approach
- Electric polarizability of neutral hadrons from dynamical lattice QCD ensembles
- Sea contributions to the electric polarizability of the hadrons
- Nucleon Polarisabilities at and Beyond Physical Pion Masses
- On the Implementation of General Background Electromagnetic Fields on a Periodic Hypercubic Lattice
- Update on the sea contributions to hadron polarizabilities via reweighting
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- 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