Neutron and Proton densities in a nucleus where N=Z

1. Sep 22, 2014

sudipmaity

1. The problem statement, all variables and given/kown data
A
ssuming that the nuclear radius R=γ0 *A(1/3) where γ0 =1.2×10(-15) and A is the mass number, Calculate the neutron and Proton densities in a nucleus N=Z.

2. Relevant equations
A=N+Z.=2Z in this case.
Mass of proton =Z*mp
Mass of neutron =Z*mn

3. The attempt at a solution
ρn=(mn*Z)/{4/3 * π *(γ0 A(1/3))3}
=3mn/8π γ03
Similarly ρp=3mp/8π γ03
Am i right?

2. Oct 12, 2014

majid313mirzae

yes, you are right. But remember that is only true for a sphere of radius R with charge uniformly distributed throughout its volume