Octet Baryons in Large Magnetic Fields

Abstract

Magnetic properties of octet baryons are investigated within the framework of chiral perturbation theory. Utilizing a power counting for large magnetic fields, the Landau levels of charged mesons are treated exactly giving rise to baryon energies that depend non-analytically on the strength of the magnetic field. In the small-field limit, baryon magnetic moments and polarizabilities emerge from the calculated energies. We argue that the magnetic polarizabilities of hyperons provide a testing ground for potentially large contributions from decuplet pole diagrams. In external magnetic fields, such contributions manifest themselves through decuplet-octet mixing, for which possible results are compared in a few scenarios. These scenarios can be tested with lattice QCD calculations of the octet baryon energies in magnetic fields.

25 pages, 9 figures

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• Towards charged hadron polarizabilities from four-point functions in lattice QCD
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• Energy of a point-like neutron in an external electromagnetic field
• Chiral Symmetry Breaking and Pion Decay in a Magnetic Field