(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Twelve nucleons are in a one dimensional infinite square well of length L = 3 fm. Using a mass of 1 u. What is the ground state energy of the system of 12 nucleons in the well if all the nucleons are neutrons so that there can only be 2 in each state.

2. Relevant equations

3. The attempt at a solution

E = n^2 h^2 / ( 8 m L^2) (infinite square well)

I'm not really sure what to do... If I say that n = 1. Then I get 22.96 MeV.

I know that because of the exclusion principle there will be levels from n = 1 to n = 6 with 2 neutrons in each level.

I don't know exactly what they mean by ground state? I would have thought that means when n = 1, but in this case it doesn't seem to be the case. Or even 22.96 Mev / 12 nucleons, but that also isn't the answer.

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# Homework Help: Infinite Square Well and nucleons

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