Does Equal Proton and Neutron Count Define an Isoscalar Nucleus?

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An isoscalar nucleus is defined as one with isospin T=0, which typically corresponds to having an equal number of neutrons and protons. While the concept suggests that equal counts of these nucleons indicate an isoscalar target, the discussion clarifies that this is not a strict definition. The consensus is that an isoscalar nucleus should indeed have equal numbers of neutrons and protons, aligning with the T=0 characterization. However, the relationship between equal nucleon counts and isoscalar status can be nuanced. Ultimately, the definition hinges on the isospin concept rather than just nucleon parity.
krishna mohan
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What is an isoscalar nucleus?

I guess it should be a nucleus with isospin T=0.

In the place where I encountered it, it seems to refer to a nucleus with equal number of neutrons and protons. An isoscalar target should necessarily have equal number of neutrons and protons. But as far as I can see, equal number of neutrons and protons does not mean an isoscalar target.

Is that right, or am I missing something?
 
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No, you're right. An isoscalar target should be one with T=0, but in fact, it means "same number of neutrons as protons". That's just the way things are.
 

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