If a neutrino interacted with a quark every time their separation was within the 10-18 in range generally accepted for the weak force, then the cross section of a neutron or proton "seen" by a neutrino would be on the order of 10-36m2. Even at such separation, however, the probability of interaction is quite small. The nucleon appeal's to have an effective cross section of only about 10-48m2. (a) About how many nucleons are there in a column through Earth's center of 1 m2 cross-sectional area? (b) What is the probability drat a given neutrino passing through space and encountering Earth will actually "hit"?
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