Alpha particles are basically just helium nuclei, so it will accept an electron pair to become stable.
Will fluorine, being highly electronegative, not just donate an electron pair but form a bond with helium?
Answer
Why, many atoms would readily create a bond with helium, when it comes in a form of alpha particle (just cooled down enough to chemically interact with). There is comparatively stable $\ce{HeH}^+$ and other similar particles, too. But a positive particle is not a compound yet. And when you try to form a compound out of it, that is, to balance it with some negative ions - well, that's where the problem arises. It would violently react with absolutely anything else, form some compound, and happily release the neutral helium atom.
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