Nuclear shell model spin and parity?

In summary, the shell model spin and parity of _{38}^{89}Sr is determined by the unpaired nucleons, which in this case is 1 unpaired neutron. Therefore, the spin parity is \frac{7}{2}^{+}. It is important to consider both protons and neutrons in determining spin parity, even if the proton shell is completely filled.
  • #1
humanist rho
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Homework Statement


What is the shell model spin and parity of [tex]_{38}^{89}Sr[/tex]?

2. The attempt at a solution

If i fill the levels as we usually do,

Protons will end up in the level [tex]1f_{5/2}[/tex] with 6protons,ie the level is completely filled

If the neutron number is considered,[tex]1g_{7/2}[/tex] with 1neutron is the final level.

Then what is the spin parity?
[itex]\frac{5}{2}^{+}[/itex] or [itex]\frac{7}{2}^{+}[/itex]?
 
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  • #2
In a book i saw tha spin parity of oxygen is found by considering proton number only.I want to confirm if it is so even when the proton shell is completely filled(ie, there's no unpaired proton).or do i need to consider neutron number?
 
  • #3
You have to consider any unpaired nucleon (protons or neutrons).
In this case the protons are all paired up and you have 1 unpaired neutron.
The unpaired nucleons determine these properties of the nucleus.
 

1. What is the nuclear shell model spin and parity?

The nuclear shell model spin and parity refers to the intrinsic quantum mechanical properties of a nucleus, specifically its spin and parity. Spin refers to the angular momentum of the nucleus and parity refers to its symmetry under spatial inversion. These properties are important for understanding the structure and behavior of nuclei.

2. How is the spin and parity of a nucleus determined?

The spin and parity of a nucleus can be determined experimentally by observing the radiation emitted during nuclear reactions. The pattern of radiation can reveal the spin and parity of the nucleus. Theoretical calculations and models can also be used to predict these properties.

3. What is the significance of the nuclear shell model spin and parity?

The spin and parity of a nucleus provide important information about its internal structure, such as the arrangement of protons and neutrons in the nucleus. This can help scientists understand the stability, energy levels, and reactions of different nuclei. It also allows for the classification of nuclei into groups based on their spin and parity.

4. How does the nuclear shell model explain spin and parity?

The nuclear shell model is based on the concept of energy levels, similar to the electronic shell model of atoms. In this model, protons and neutrons occupy different energy levels or "shells" within the nucleus. The spin and parity of a nucleus can be explained by the arrangement of these particles in these shells, which follow certain rules and patterns.

5. Can the nuclear shell model predict the spin and parity of all nuclei?

No, the nuclear shell model is not able to predict the spin and parity of all nuclei. It is most accurate for nuclei with closed shells, meaning the number of protons or neutrons in a particular energy level is the maximum allowed. For nuclei with open shells, the model becomes more complex and less accurate. However, the model is constantly being improved and updated to better understand the properties of all nuclei.

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