Why can't matter go through other matter?

[k9b4]

I know that the electrons around atoms repel the other electrons around atoms and the electrons never touch. But I believe that neutrons are considered ionising radiation correct? That means that they bump into electrons and knock them away from its nucleus. How does a neutron affect the electrons to bump them off? Do neutrons have charge? Why can't matter go through other matter?

 

[Godparicle]

I know that the electrons around atoms repel the other electrons around atoms and the electrons never touch.

Read: http://arxiv.org/pdf/1408.1990.pdf

"one can envision experiments where the Pauli exclusion principle
is relevant at the final time (when the two electrons coincide in the same spatial region) but
not at the initial one (when the two electrons are localized at different regions)"