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Neutron and Proton densities in a nucleus where N=Z

  1. Sep 22, 2014 #1
    1. The problem statement, all variables and given/kown data
    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. jcsd
  3. Oct 12, 2014 #2
    yes, you are right. But remember that is only true for a sphere of radius R with charge uniformly distributed throughout its volume
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