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Shell Structure in Atomic Nucleus

  1. Mar 13, 2015 #1
    1. The problem statement, all variables and given/known data

    (a) What shows the existence of shell structure? What are the other numbers?

    (b) Deduce the spin and parities.

    shellstructure1.png

    2. Relevant equations


    3. The attempt at a solution

    The shell model is given by:

    shellmodel1.png

    So for Li, 3 protons pair up with 3 neutrons, leaving an unpaired neutron in ##1p_{\frac{3}{2}}##. Thus S = 3/2. It's parity is odd.

    For Oxygen, 8 protons pair up with 8 neutrons, leaving the unpaired neutron at ##1d_{\frac{5}{2}}##. Thus S = 5/2. Parity is odd.

    For Neon, 10 protons pair up with 10 neutrons. it's even-even. Parity is even.

    For Aluminium, 13 protons pair up with 13 neutrons, leaving the unpaired neutron is in ##1d_{\frac{5}{2}}##. Thus S = 5/2. Parity is odd.

    For Nitrogen, 7 protons pair up with 7 neutrons. No unpaired?

    For Potassium, 19 protons pair up with 19 neutrons, leaving unpaired neutron at ##1d_{\frac{3}{2}}##.

    For Scandium, 20 protons pair up with 20 neutrons, leaving unpaired proton at ##1f_{\frac{7}{2}}##.
     
  2. jcsd
  3. Mar 13, 2015 #2

    mfb

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    Staff: Mentor

    Protons don't pair up with neutrons, they are different particles. Protons can pair up with protons, and neutrons with neutrons.
     
  4. Mar 14, 2015 #3
    OK, I got it. How do you determine the parity then? Say for Oxygen, there is 1 unpaired neutron in 1d(5/2). What is its parity?
     
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