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"In elementary nuclear physics, we learn about the Fermi gas model of the nucleus. The Fermi energy for normal nuclear density (ρ

_{0}) is 38.4 MeV. Suppose that the nucleus is compressed, for example in a heavy ion collision. What is the dependence of Fermi energy on density?"

I took a peek at the solution, but I've forgotten where I would have seen the first step:

"The differential number of particles is dN = 4V/(2π)

^{3}d

^{3}K, where g = 4 is the nuclear degeneracy."

Where does this equation come from?

Are there any books or online readings you could recommend to better learn this material?

I would be able to finish the problem if I could recall the first step. (For those curious, the solution was ρ

^{2/3}

Side note: If anyone has any Physics GRE prep materials they would recommend, I'd greatly appreciate it!

Thanks for your help!