Fermi Gas Model / Fermi energy and momentum

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SUMMARY

The discussion centers on the calculation of Fermi momentum (Kf) and Fermi energy (Ef) in the context of the Fermi Gas Model, specifically referencing Wong and Feshbach/deShalit. The calculated Fermi momentum is Kf = 1.3 fm-1, leading to a theoretical Fermi energy of Ef = 37 MeV using the formula Ef = (ħKf)2/2M, where M is the nucleon mass. However, a participant, Mike, encounters a discrepancy, calculating Ef to be approximately 11.2 MeV, suggesting a potential mathematical error or a missing geometrical adjustment in the Kf value.

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mmisk
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Hi,

Hope somebody can help - I seem to be missing the obvious and bonking
my head on the wall.

In Wong and also in Feshbach/deShalit, they calculate the Fermi momentum,
Kf using the experimental value of Rho-0 and come up with Kf=1.3 fm-1

So far so good.

Where I stumble is in their calculation of the Fermi Energy, Ef. For
instance, Wong has Ef=(hbar*Kf)^2/2M, M=nucleon mass, giving
Ef about 37 Mev. But when I plug in the appropriate values I get an
Ef of 11.2 ish Mev with M = M neutron ~939.5 Mev/c^2.

I'm sure I'm missing the obvious 'adjustment' to the privously
calculated Kf, and suspect it is a geometrical consideration as I'm
off roughly pi.

Thanks

Mike
 
Physics news on Phys.org
er..ah.. stupid math error

multiplying by 1.xx ^ +15 and dividing by 1.xx ^ -15 give answers to same order of magnitude...just that one is 11.7 and the other is 37 :bugeye: I've been wearing my dunce hat for a few days now!
 

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