Complex sentence: Those antiprotons produced in flares are annihilated far away from the point where had been produced showing smaller cross section, which is in accordance with the Papaelias' formula.
Split into simpler sentences: Those antiprotons produced in flares are annihilated far away from the point where they had been produced. The long distance they travel escaping annihilation is showing a smaller annihilation cross section, which is in accordance with the Papaelias' formula.