Undergrad Why are higher magic numbers not accurately predicted?

[says]

Why are higher magic numbers not accurately predicted if nuclear potential is assumed to be a central potential?

Nuclei with magic numbers have a higher stability that those without. If we think of the nuclear potential as a central potential though these magic numbers aren't predicted accurately. Why?

 

[mathman]

(From someone who knows very little.) Many body problems are very hard to compute accurately, so magic number prediction is based on simplifying models.

 

[Vanadium 50]

Why are higher magic numbers not accurately predicted

Why do you think they are not?

 

[says]

spin-orbit coupling is not taken into account with a central potential. When spin is aligned with angular momentum the potential becomes more negative. When spin and angular momentum are anti-aligned the system's energy is higher.