Magnetic polarizability of pion
E.V. Luschevskaya, O.E. Solovjeva, O.V. Teryaev

TL;DR
This study investigates how magnetic fields influence the energy and magnetic polarizability of charged and neutral pions using lattice gauge theory, revealing contributions from hyperpolarizability.
Contribution
It provides the first lattice calculation of pion magnetic polarizability and hyperpolarizability across different lattice parameters.
Findings
Charged and neutral pions exhibit measurable magnetic polarizability.
Magnetic hyperpolarizability significantly affects neutral pion energy.
Results vary with lattice volume and spacing.
Abstract
We explore the energy dependence of mesons off the background abelian magnetic field on the base of quenched SU(3) lattice gauge theory and calculate the magnetic dipole polarizability of charged and neutral pions for various lattice volumes and lattice spacings. The contribution of the magnetic hyperpolarizability to the neutral pion energy has been also found.
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