They are not classical particles, the uncertainty principle, for example, still spreads out the location. I don't really know how particle interactions work exactly, but I am pretty sure it is not perfect point particles having to hit each other exactly. I guess there is something like a interaction probability depending on the distance between the particles. I include a bit from an older comment I once made here with links to a lecture where this issue is pretty clearly addressed.
Here is Nima Arkani-Hamed giving the Salam lectures 2012, a five day series on the state of fundamental physics. I marked [1] about 30 seconds where he is very clear about this. You can also start here [2] and watch about 10 minutes of this lecture where he quickly redevelops the ideas of quantum field theory.
[1] https://www.youtube.com/watch?v=tnA7bh7dTqY&t=1669
[2] https://www.youtube.com/watch?v=tnA7bh7dTqY&t=370