Nuclear and Atomic energy levels

Click For Summary

Discussion Overview

The discussion revolves around the differences and similarities between nuclear and atomic energy levels, particularly focusing on the Shell Model of the nucleus and atomic energy levels. Participants explore the implications of these differences in terms of quantum numbers and the behavior of particles within these systems.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant notes the differing order of energy levels in the Shell Model of the nucleus compared to atomic energy levels, questioning why this discrepancy exists despite both systems accommodating the same number of particles per level.
  • Another participant explains that the nuclear potential differs from the 1/r² potential and is influenced by nucleons, leading to more complex energy levels.
  • A third participant highlights the significance of the spin-orbit term in determining the "magic numbers" of nuclei, referencing the contributions of Jensen and Goeppert-Mayer.
  • It is mentioned that the same number of particles can occupy each level due to the Pauli exclusion principle, which applies to fermions.

Areas of Agreement / Disagreement

Participants express differing views on the implications of energy level ordering and the underlying physics, indicating that multiple competing perspectives remain without a clear consensus.

Contextual Notes

The discussion does not resolve the complexities of the nuclear potential or the specific reasons for the differences in energy level ordering, leaving these aspects open for further exploration.

QuarkDecay
Messages
43
Reaction score
2
I've noticed that in the Shell Model of the nucleus, the order of the energy levels is 1s, 1p3/2, 1p1/2, etc. While in the atomic energy levels it goes 1S 2S 2P, ... But they still take the same amount of particles for each level in both the atomic and nucleus.

Am I missing something here? Or why does this happen? I mean, their order being different, but all of the rest is the same just changing electrons with nucleons
 
Physics news on Phys.org
The nuclear potential is not an 1/r2 potential and it is created by the nucleons occupying it. That makes the energy levels more complicated. The number of particles that can occupy a given energy level depends on the quantum numbers only, if you compare matching quantum numbers you get the same number of particles that fit in.
 
The important point is the spin-orbit term, giving the "magic numbers" of nuclei. For that Jensen and Goeppert-Mayer earnt their Nobel.
 
They take the same amount of particles for each level because they are fermions and must obey the Pauli exclusion principle.
 

Similar threads

  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 15 ·
Replies
15
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 12 ·
Replies
12
Views
5K
  • · Replies 0 ·
Replies
0
Views
1K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 17 ·
Replies
17
Views
3K