Graph of potential energy versus internucleon distance in an atom

In summary, the conversation discusses the potential energy of a pair of nucleons as a function of their separation. The graph shows a minimum potential energy at a certain value of separation, with positive energy below and negative energy above. The force between nucleons is attractive for separations greater than the minimum and strongly repulsive for separations less than the minimum. The phenomenon is explained by applying similar reasoning to the Lennard-Jones potential between atoms and considering the composite nature of nucleons with quarks. The reference provided also explains the short range repulsion as a result of Pauli exclusion principle and the medium range attraction as a consequence of the exchange of massive mesons.
  • #1
kihr
102
0
The graph of potential energy of a pair of nucleons as a function of their separation shows a minimum potential energy at a value r (approx. = 0.8 femtometers). Below r the PE is positive (actually rises sharply from a negative to a positive value). Above r the PE is negative, and becomes zero beyond a certain value of r. For a separation greater than r the force on the nucleons is attractive, while for separations less than r the force is strongly repulsive.

I would appreciate if someone could explain the above phenomenon to me. Thanks.
 
Physics news on Phys.org
  • #2
Have you seen the explanation for the similar shape of the Lennard-Jones potential between atoms? If not, you might find it interesting.

http://polymer.bu.edu/Wasser/robert/work/node8.html

You could try to apply this reasoning by treating the nucleons as composite particles (3xquark), and considering similar effects in the context of the strong nuclear force. In both cases you have a composite state. For the nucleons you have R,G,B quarks in each of the nucleons.

Torquil
 
  • #3
Thanks. Let me have a look at your reference.
 
  • #4
I think that this is also worth reading:

http://www.cartage.org.lb/en/themes/sciences/physics/NuclearPhysics/WhatisNuclear/Forces/Forces.htm"

It seems to explain the short range repulsion as coming from the Pauli explusion principle, and the medium range attraction as a Yukawa force, which appears as a consequence of the exchange of massive mesons.

Torquil
 
Last edited by a moderator:

1. What does the graph of potential energy versus internucleon distance show?

The graph of potential energy versus internucleon distance in an atom shows the relationship between the potential energy (attractive and repulsive forces) and the distance between the nucleons (protons and neutrons) in the atom.

2. How is the graph of potential energy versus internucleon distance related to the stability of an atom?

The shape of the graph can determine the stability of an atom. If the graph has a minimum point at a specific internucleon distance, it indicates that the atom is stable at that distance. Any deviation from that distance would increase the potential energy and make the atom less stable.

3. What is the significance of the slope of the graph in the potential energy versus internucleon distance?

The slope of the graph represents the force between the nucleons. A steeper slope indicates a stronger force, which can be either attractive or repulsive. A flatter slope indicates a weaker force.

4. How does the graph change for different atoms?

The shape of the graph can vary for different atoms depending on the number of protons, neutrons, and their arrangement in the nucleus. For example, larger atoms with more nucleons tend to have a flatter graph due to a weaker force between the nucleons compared to smaller atoms.

5. Can the graph of potential energy versus internucleon distance be used to predict the behavior of an atom?

Yes, the graph can provide valuable information about the stability and force between nucleons in an atom. It can also be used to predict how the atom may behave under different conditions, such as changes in temperature or pressure.

Similar threads

  • Atomic and Condensed Matter
Replies
4
Views
1K
Replies
22
Views
1K
  • Atomic and Condensed Matter
Replies
1
Views
4K
  • High Energy, Nuclear, Particle Physics
Replies
1
Views
913
  • Classical Physics
2
Replies
46
Views
2K
  • Introductory Physics Homework Help
Replies
23
Views
343
Replies
26
Views
1K
  • Atomic and Condensed Matter
Replies
1
Views
8K
  • Classical Physics
Replies
6
Views
618
Replies
10
Views
947
Back
Top