PoS - Proceedings of Science
Volume 453 - The 40th International Symposium on Lattice Field Theory (LATTICE2023) - Structure of Hadrons and Nuclei
Magnetic polarizability of a charged pion from four-point functions
F. Lee*, W. Wilcox, A. Alexandru and C. Culver
Full text: pdf
Pre-published on: December 27, 2023
Published on: November 06, 2024
Abstract
Electromagnetic dipole polarizabilities are fundamental properties of a hadron that represent its resistance to deformation under external fields. For a charged hadron, the presence of acceleration and Landau levels complicates the isolation of its deformation energy in the conventional background field method. In this work, we explore a general method based on four-point functions in lattice QCD that takes into account all photon, quark and gluon interactions.
The electric polarizability ($\alpha_E$) has been determined from the method in a previous proof-of-principle simulation.
Here we focus on the magnetic polarizability ($\beta_M$) using the same quenched Wilson action on a $24^3\times 48$ lattice at $\beta=6.0$
with pion mass from 1100 to 370 MeV. The results from the connected diagrams show a large cancellation between the elastic and inelastic contributions, leading to a relatively small and negative value for $\beta_M$ consistent with chiral perturbation theory.
DOI: https://doi.org/10.22323/1.453.0303
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