Graph of potential energy versus internucleon distance in an atom

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SUMMARY

The graph of potential energy versus internucleon distance illustrates that the potential energy (PE) reaches a minimum at approximately 0.8 femtometers. Below this distance, the PE is positive and increases sharply, while above this distance, the PE is negative and approaches zero. The forces acting on nucleons are attractive for separations greater than 0.8 femtometers and strongly repulsive for separations less than this value. This behavior can be understood through the lens of the strong nuclear force and the Pauli exclusion principle, as well as the Yukawa force resulting from massive meson exchange.

PREREQUISITES
  • Understanding of potential energy graphs in nuclear physics
  • Familiarity with the strong nuclear force and its implications
  • Knowledge of quark composition in nucleons
  • Basic principles of the Pauli exclusion principle and Yukawa force
NEXT STEPS
  • Research the properties of the Yukawa potential in nuclear interactions
  • Study the Pauli exclusion principle and its effects on particle interactions
  • Explore the role of mesons in mediating nuclear forces
  • Examine the similarities between the nucleon potential energy graph and the Lennard-Jones potential
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Students and professionals in nuclear physics, particle physicists, and anyone interested in the fundamental forces governing atomic interactions.

kihr
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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.
 
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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
 
Thanks. Let me have a look at your reference.
 
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
 
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