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.
Highlights
Studying the response of systems to external conditions is a central theme that appears in many branches of physics
We explore the behavior of octet baryon energies in large magnetic fields
II, we review the necessary ingredients of meson and baryon chiral perturbation theory in large magnetic fields using a position-space formulation
Summary
Studying the response of systems to external conditions is a central theme that appears in many branches of physics. We explore the behavior of octet baryon energies in large magnetic fields This investigation is carried out within the framework of chiral perturbation theory, which can be used to study, in a model-independent fashion, the modification of vacuum and hadron structure in large electromagnetic fields; see Refs. The role of loop contributions and decuplet mixing, is addressed within the entire baryon octet, for which U-spin and large-Nc considerations allow us to compare results for magnetic polarizabilities and the behavior of energies with respect to the magnetic field. Consistent kinematics are employed to reduce the size of magnetic polarizabilities, as well as a scenario in which higher-order counterterms are promoted These scenarios can be tested with future lattice QCD computations of the octet baryons in magnetic fields.
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