When to use collective and when shell model?

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    Nucleus shell model
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SUMMARY

The discussion centers on the appropriate application of the collective model versus the shell model in nuclear physics. The shell model is utilized for understanding individual nucleon behavior, while the collective model is applied to describe collective excitations such as rotational and vibrational states. It is essential to recognize that rotational and vibrational excitations can occur on top of shell model energies, indicating a layered approach to nuclear excitation states. Understanding the context of the nucleus's level scheme is crucial for determining the type of excitation present.

PREREQUISITES
  • Familiarity with nuclear physics concepts, specifically the shell model and collective model.
  • Understanding of nuclear excitation states, including rotational and vibrational excitations.
  • Knowledge of level schemes in nuclear structure.
  • Basic grasp of quantum mechanics as it applies to nucleons.
NEXT STEPS
  • Study the differences between the shell model and collective model in nuclear physics.
  • Explore examples of nuclear level schemes to identify excitation types.
  • Research the concept of nucleon interactions within the shell model framework.
  • Investigate the implications of rotational and vibrational excitations in nuclear reactions.
USEFUL FOR

Nuclear physicists, students studying nuclear structure, and researchers interested in the dynamics of nuclear excitations.

Malamala
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I am sorry if this is a silly question, but I am confused about it. When do I use a model over the other? I understand how they work separately, but I didn't understand from my readings when I should use one over the other and why. And when I look at an actual level scheme of a nucleus (for example this one, but any other would do just fine), how do I know what kind of excitation is it? Is it a nucleon jumping in a different shell, is it a rotational/vibrational excitation? Are the rotational/vibrational excitations built on top of shell model energies (similar to vibrational/rotational states on top of electronic ones in a molecule) or they are completely different (i.e. different pictures)? I am really lost and any help would be greatly appreciated. Thank you!
 

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