Non-central nature of nuclear force?

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SUMMARY

The discussion centers on the non-central nature of nuclear forces, specifically addressing how electric quadrupole moments indicate the non-spherical structure of the nucleus. It is established that the nuclear force, while derived from the Yukawa potential, deviates from being a central potential due to angular momentum state mixing in nuclear reactions. The inclusion of tensor interactions and the role of gamma5 in parity conservation are highlighted as critical factors in understanding these dynamics. Overall, the conversation emphasizes the complexity of modeling nuclear interactions beyond traditional central force assumptions.

PREREQUISITES
  • Understanding of nuclear physics concepts, particularly the Yukawa potential.
  • Familiarity with electric quadrupole moments and their implications for nuclear structure.
  • Knowledge of angular momentum conservation in quantum mechanics.
  • Basic grasp of parity conservation and its significance in particle interactions.
NEXT STEPS
  • Explore advanced models of nuclear interactions, focusing on tensor forces in pion exchange.
  • Study the implications of electric quadrupole moments in nuclear structure analysis.
  • Investigate the role of gamma5 in quantum field theory and its impact on parity conservation.
  • Learn about phenomenological approaches in nuclear physics and their applications in experimental comparisons.
USEFUL FOR

This discussion is beneficial for nuclear physicists, researchers in particle physics, and students studying advanced quantum mechanics who seek to deepen their understanding of nuclear forces and their complexities.

Reshma
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Nuclear forces are said to be non-central. By definition of central force, angular momentum is constant. It is usually found in spherical bodies. How do the electric quadruple moments indicate the non-spherical structure of the nucleus? How is the nucleus stable if the angular momentum is not constant?
 
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Hello? Can someone help me here?
 
Reshma said:
How do the electric quadruple moments indicate the non-spherical structure of the nucleus?
Based upon the sign of the electric quadrupolemoment, you know the shape of the charge distribution around the nucleus. It kind of expresses the electrical dipole you have because of a non-sferical structure (like oblate/prolate-ellipsoids)

Quadrupole moment

marlon
 
Take classical Yukawa theory, and expand it. Its pretty clear that its not a central potential.
 
Haelfix -- not for the usual scalar interation often used to explain the Yukawa potential. For nucleons and pions. The interaction includes "gamma5". Pions have negative parity, the gamma5 allows parity to be conserved, and provides a spin-dependent interaction.
Regards,
Reilly Atkinson
 
Yea I realized I misworded my response pretty badly.

The Yukawa potential *is* a central potential, but to see why the nuclear force is *not* it more or less suffices to look at the former and see where it must break down.

Qualitatively in Nuclear physics in many reactions you will get some small angular momentum state mixing that will depart from the Yukawa potential. Typically what is done is you add in these error terms and build a model around it by comparing to experiment. So for instance in pion exchange models you will get a central potential term like the Yukawa force (or Woods Saxon form) and something tensor like. From there its all phenomonology.
 

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