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Magnetic Moments and Polarizabilities of Hadrons from Dynamical QCD Configurations

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We present the first calculations of magnetic polarizabilities ofhadrons within the framework of dynamical lattice QCD. From thesame data set, we also extract magnetic moments. The dynamicalgauge configurations were generated by the CP-PACS collaborationon lattices of sizes 123×24, 163×32 and 243×48 with a constant spatial volume of (2.5 fm)123. We follow two approaches of introducing the magnetic field onto the lattice and have found much disagreement between the two. The linearization of the U(1) gauge field, which has been employed in numerous works previous, produces strong signals for nearly every particle. These calculations are also the first to employ thealternative method in the magnetic case, namely, using the fullU(1) exponential phase. These data are noisy and fail to produce aplateau in several cases. The magnetic moment data for the fullexponential case are clean and produce strong plateaus with smallerrors. With the smallest quark mass being around 500 MeV, achiral extrapolation was not attempted. However, our linearresults show little m π-dependence, and thus where available we compare with experiment and theoretical calculations from the lattice, effective field theories, and other models.

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