Total Angular Momentum of Two Nucleons: Possible Values?

In summary, total angular momentum is a physical quantity that describes the overall rotational motion of an object, taking into account both its spin and orbital angular momentum. Nucleons are the particles that make up the nucleus of an atom, including protons and neutrons. The total angular momentum of two nucleons is calculated by adding their individual angular momenta together, including their spin and orbital angular momenta. The possible values for the total angular momentum of two nucleons are whole numbers ranging from 0 to the sum of the individual angular momenta. The total angular momentum of two nucleons does not directly affect the stability of an atom, but it does play a role in determining the energy levels and possible transitions of electrons in the atom.
  • #1
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Homework Statement



The spin of each of the two nucleons is 3/2 with Sz=0 . The orbital angular momentum b/w the two nucleons is zero . What values can the total angular momentum have ?

Homework Equations





The Attempt at a Solution


This was a question in my exam and i got stuck , so any help will be of much use . Thanx
 
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  • #2
use the angular momentum addition theorem
[itex]j_1+j_2=j_1+j_2, . . . , |j_1-j_2|[/itex]
 

1. What is total angular momentum?

Total angular momentum is a physical quantity that describes the overall rotational motion of an object, taking into account both its spin and orbital angular momentum.

2. What are nucleons?

Nucleons are the particles that make up the nucleus of an atom. They include protons and neutrons.

3. How is the total angular momentum of two nucleons calculated?

The total angular momentum of two nucleons is calculated by adding their individual angular momenta together. This includes their individual spin and orbital angular momenta.

4. What are the possible values for total angular momentum of two nucleons?

The possible values for the total angular momentum of two nucleons are whole numbers ranging from 0 to the sum of the individual angular momenta of the two nucleons. For example, if one nucleon has a spin of 1/2 and the other has a spin of 1, the possible values for the total angular momentum would be 0, 1, and 2.

5. How does the total angular momentum of two nucleons affect the stability of an atom?

The total angular momentum of two nucleons does not directly affect the stability of an atom. However, it does play a role in determining the energy levels and possible transitions of electrons in the atom, which can ultimately affect the stability of the atom.

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