(a) In a quark model of elementary particles,

Question:

(a) In a quark model of elementary particles, a neutron is made of one up quarks and two down quarks. Assume that they have a triangle configuration with side length of the order of 10-15 m. Calculate the electrostatic potential energy of neutron and compare it with its mass 939 MeV.

(b) Repeat above exercise for a proton which is made of two up and one down quark.

Solution:

There are three charges in the system. The potential energy of the system is equal to the sum of the PE of each pair.

U = 1/4 π ε0 {qdqd/r – quqd/r – quqd/r}

Substituting the values we get,

U = 5.11 10-4

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