Hi. This may be a trivial question, but I'm unable to find a definitve answer. How is the mass on a atomic nucleus distributed? I read somewhere that it was uniformly distributed, and somewhere else that it resembled a normal distribution. Can you help me out? Thank you.
Roughly uniform in the center, and then relatively sharp edges. Apart from halo nuclei, but they are exotic and not long-living.
And of course many nuclei are ellipsoidal rather than spherical. If you use a harmonic oscillator potential, then the single-particle wavefunctions will resemble Gaussian shapes (like a normal distribution). But that's an unrealistic feature of the harmonic oscillator potential.