Mass distribution of magnetized quark-nugget dark matter and comparison with observations.

Quark nuggets are theoretical objects composed of approximately equal numbers of up, down, and strange quarks. They are also called strangelets, nuclearites, AQNs, slets, Macros, and MQNs. Quark nuggets are a candidate for dark matter, which has been a mystery for decades despite constituting ${\sim}85\%$ of the mass in the universe. Most previous models of quark nuggets have assumed no intrinsic magnetic field. However, Tatsumi found that quark nuggets may exist in magnetars as a ferromagnetic liquid with core magnetic field B between $10^{ 11}$ T and $10^{ 13}$ T. We apply that result to quark-nugget dark-matter and report results on aggregation of magnetized quark nuggets (MQNs) after formation from the quark-gluon plasma until expansion of the universe freezes out the mass distribution of $10^{ -24}$ kg to $10^{ 14}$ kg. Aggregation overcomes decay by weak interaction. Their aggregated mass distributions make MQNs consistent with all requirements for dark matter and fully compliant with Standard Model of Particle Physics. Observations narrow the range of B to between $10^{ 11}$ T and 3 $10^{ 13}$ T and indicate that geologic (craters in peat bogs) and planetary (seismic and radio-frequency emissions during passage through atmosphere) detectors can detect MQN dark matter.