Magnetic properties of high-density bulk MgB2 superconductors synthesized under high pressure were investigated. All the samples exhibited a sharp superconducting transition at 39 K, showing that they are good in quality. Isothermal magnetization curves showed a monotonic decay of the hysteresis width with field. The heavy-ion irradiation (5.8 GeV Pb-ion) was found to increase the critical current density at high magnetic fields.
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