There is no mention of radioactivity in the paper.
From the paper's abstract :—
On the surface of the Moon, this consists of the chronic exposure to galactic cosmic rays and sporadic solar particle events. The interaction of this radiation field with the lunar soil leads to a third component that consists of neutral particles, i.e., neutrons and gamma radiation.
Chronic exposure to GCR is a major problem for long-term habitation. It is medically insignificant for a 3-day mission.
Sporadic solar particle events are a major problem for long-term habitation. They would have been medically significant had any of those occurred during any of the Apollo missions.
Those two are examples of primary radiation: high-energy particles coming from the sun or the rest of the galaxy. The Van Allen belts too are high-energy charged-particle radiation.
"Interaction...with the lunar soil" is secondary radiation. When GCR and solar particles strike the lunar surface, the absorption of those particles causes the lunar regolith to emit secondary radiation in the form of x-rays, gamma rays, and energetic neutrons—but only for as long as the primary radiation persists. These are medically significant over the long term, amounting to about twice the exposure allowed occupationally for a radiation worker in the United States. They are medically insignificant over a 3-day mission.
More importantly, this bombardment, absorption, and re-emission
does not make the lunar surface radioactive per se.
If I take a piece of beryllium and bombard it with electrons, it will emit secondary radiation in the form of x-rays. That's how we make x-rays at the airport and the dentist's office. As soon as I turn off the electron beam (the primary radiation), the beryllium
stops emitting secondary radiation. That's what secondary means. The beryllium doesn't become radioactive as a result.
Similarly as soon as you scoop up the lunar dust and put it something that blocks the primary GCR and solar flux, it stops emitting the secondary radiation. It goes back to just being dust.
That's irradiation.
This is very different than radioisotopes such as the uranium dioxide you'll encounter on an Utah hike or the radioisotopes of iodine used to treat some cancers. These substances spontaneously give off energetic particles and ionizing rays without any help from anything. As long as you are in their presence, you will be irradiated. If some of it sticks to your gloves or shoes, you are contaminated. As the result of that contamination you will continue to be irradiated by it. If you let that persist for long enough, you'll suffer the effects of chronic radiation exposure. Freeing yourself of that ongoing effect requires removing the substance.
But the effects of irradiation do not require that special handling. There's nothing the recovery swimmers could do to mitigate any effects of prior irradiation. That was
@Vixen's point. She indicated the recovery swimmers and suggested they should be doing something to mitigate the effects of "radiation." That makes sense only if contamination is the fear. There was no source of contamination.