Using Lorentz transformation, a momentum vectors diagram of the emitted particle in laboratory frame and center-of-momentum frame is given in relativistic two-body reaction.

Near some sprites, the team also found radio waves in 310-mile-wide (500-kilometer-wide) bands-and these radio waves were most likely being emitted by high-speed particle beams.

There is even an outside chance that this unexpected effect is brought about by a previously unknown particle emitted by the sun.