PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Hadron Structure
Pion polarizability from four-point functions in lattice QCD
F. Lee*, A. Alexandru, C. Culver and W. Wilcox
Full text: pdf
Pre-published on: February 28, 2023
Published on: April 06, 2023
Polarizabilities reveal valuable information on the internal structure of hadrons in terms of charge and current distributions. For neutral hadrons, the standard approach is the background field method. But for a charged hadron, its acceleration under the applied field complicates the isolation of the polarization energy. In this work, we explore an alternative method based on four-point functions in lattice QCD. The approach offers a transparent picture on how polarizabilities arise from quark and gluon interactions. We carry out a proof-of-concept simulation on the electric polarizability of a charged pion,
using quenched Wilson action on a $24^3\times 48$ lattice at $\beta=6.0$ with pion mass from 1100 to 370 MeV.
We report results on charge radius and electric polarizability.
Our results from connected diagrams suggest that charged pion $\alpha_E$ is due to a large cancellation between elastic and inelastic contributions, leaving a small and positive value that has a relatively mild pion mass dependence.
DOI: https://doi.org/10.22323/1.430.0115
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