Nuclear shell model question

[anndurill]

Hi everyone,

 

I have a question regarding the nuclear shell model. More precisely, I'm having trouble "just accepting" shells like 1p,...,1h etc, which would be forbidden in the electronic shell model -which the nuclear one was created in analogy to as to my understanding. (They appeared out of nowhere in our book(s) without further explanation).

Unfortunately, I don't have any background in QFT (yet). However, I do recall from QM (from what I thought of was a general treatment) that the quantum numbers n,l,m,s lead to the allowed shells, i.e only 1s,2s,2d,3s,3p,3d,4s etc. Here, e.g. a 1p shell would violate the rule for l to be smaller than n...

 

Can someone with more insight please explain to me where the additional shells in the nuclear model come from, respectively how to derive/"allow" them?

 

Thanks

 

[swansont]

I think the nuclear model starts with n=0, based on a 3D harmonic oscillator. n=0 is the ground state, and allows for two spin-1/2 particles. Since the numbering is different than for electron shells, the rules have to be modified.