the nuclear shell model, orbitals are lled in theorder 1s1 2,1p3 2,1p1...

the nuclear shell model, orbitals are ï¬lled in the order 1s1/2,1p3/2,1p1/2,1d5/2,2s1/2,1d3/2, etc. (a) What is responsible for...

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the nuclear shell model, orbitals are ï¬lled in theorder 1s1/2,1p3/2,1p1/2,1d5/2,2s1/2,1d3/2, etc.
(a) What is responsible for the splitting between the p3/2 and p1/2orbitals?
(b) In the model, 16O (Z = 8) is a good closed-shell nucleus andhas spin and parity JÏ€ = 0+ . What are the predicted JÏ€ values for15O and 17O?
(c) For odd-odd nuclei a range of JÏ€ values is allowed. What arethe allowed values for 18F (Z = 9)?
(d) For even-even nuclei (e.g. for 18O) JÏ€ is always 0+ . How isthis observation explained?

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A The success of the Shell Model hinges on the fact that itpredicts magic number nuclei Magic number nuclei are when thenumber of protons or neutrons or both are 2 8 20 28 50 82126 the nucleus shows unusual stability To explain this aspinorbit correction term is added to the potential in the shellmodel See Answer

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the nuclear shell model, orbitals are ï¬lled in the order 1s1/2,1p3/2,1p1/2,1d5/2,2s1/2,1d3/2, etc. (a) What is responsible for...