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In a quark model of elementary particles, a neutron is made of one up quark (charge `=2/3e`) and two down quarks (charges `=1/3e`). Assume that they have a triangle configuration with side length of the order of `10^(-15)m.` Calculate electrostatic potential energy of neutron.

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The electrostatic potential energy of neutron
`u= 1/(4piepsi_0)[((2/3e)(-1/3e))/r + ((2/3e)(-1/3e))/r + ((-1/3e)(-1/3e))/r]`

`1/(4pi epsi_0) (-1/3 e^2/r) = (-9 xx 10^9 xx (1.6 xx 10^(-19))^2)/(3xx (10^(-15)))`
`=-7.68 xx 10^(-14) J = -(7.68 xx 10^(-14))/(1.6 xx 10^(-19)) eV = - 4.8 xx 10^5 eV = - 0.48 MeV`
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(a) In a quark model of elementary particles, a neutron is made of one up quarks [charge (2//3) e] and two down quarks [charges - (1//3) e]. Assume that they have a triangle configuration with side length of the order of 10^(-15) m . Calculate 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.

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