Does the Nucleus Have a Wave Function?

  • Context: Graduate 
  • Thread starter Thread starter calvinjhfeng
  • Start date Start date
  • Tags Tags
    Nucleus Wavefunction
Click For Summary

Discussion Overview

The discussion revolves around the nature of the nucleus and whether it possesses a wave function similar to that of electrons. Participants explore the differences in confinement and probability distributions between nucleons and electrons, touching on theoretical aspects of quantum mechanics and the forces at play.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant questions the confinement of the nucleus compared to the electron's distribution around it, suggesting a curiosity about the existence of a nuclear wave function.
  • Another participant asserts that there is a nuclear wave function, noting its smaller spatial extent due to the strong nuclear forces between nucleons compared to the electromagnetic forces acting on electrons.
  • A further contribution emphasizes that while everything theoretically has a probability distribution, the nucleus's distribution is highly localized compared to that of an electron, using the hydrogen atom's lowest energy state as an example.
  • Another point raised highlights the mass difference between electrons and nucleons, suggesting that the lighter electron can travel further under the same field fluctuations, which may affect their respective wave functions.

Areas of Agreement / Disagreement

Participants express varying views on the nature and implications of the nuclear wave function, with no consensus reached on the specifics of its characteristics compared to the electron wave function.

Contextual Notes

Discussion includes assumptions about the nature of forces acting on nucleons and electrons, as well as the implications of mass differences on their behavior, which remain unresolved.

calvinjhfeng
Messages
30
Reaction score
0
I was wondering why is the nucleus willing to confine itself in one place while the electrons are free to appear anywhere around the nucleus within the orbital.

Electrons have this wave function, is there one for the nucleus?
 
Physics news on Phys.org
Yes, there is indeed a nuclear wavefunction. It is just very much smaller in space than the electron wavefunction, because the nucleons attract each other very strongly through nuclear forces, whereas the electrons are attracted to the nucleus by much weaker electromagnetic forces.
 
Well in theory everything has a probability distribution throughout all of real space, the thing is the nucleus' probability distribution is very localized compared to that of an electron. Take for example the lowest energy state of the hydrogen atom, the wave function is localized to region of radius close to the bohr radius, even when compared to such small distances, the nucleus can still be viewed as point-localized
 
Also since the electron is about 1800 times lighter than a single particle in the nucleus, it will travel a lot further when being subjected to the same field fluctuation as the nucleus.
 

Similar threads

  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 6 ·
Replies
6
Views
4K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 36 ·
2
Replies
36
Views
9K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 21 ·
Replies
21
Views
2K
  • · Replies 23 ·
Replies
23
Views
5K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 12 ·
Replies
12
Views
4K
  • · Replies 11 ·
Replies
11
Views
3K