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## Main Question or Discussion Point

I am trying to figure out the difference between Δ

Deltas have isospin 3/2 and spin angular momentum 3/2 whereas protons and neutrons have isospin 1/2 and spin angular momentum 1/2. I'm thinking that the difference between the two is created via different linear combinations of up and down quarks that meet the isospin and spin angular requirements. For example, Δ

uud + udu + duu

and Δ

udd + dud + ddu

and both yield isospin = spin = 3/2

Is my thinking correct? I am having a hard time finding a simple description of the quark combinations for the proton and neutronso if anyone has a pointer that would be appreciated. I have been looking at the Wikipedia article on isospin http://en.wikipedia.org/wiki/Isospinon [Broken] but am not sure how to interpret the matrices.

^{0}and Δ^{-}and the proton and neutron since both appear to have the same combinations of up/down quarks.Deltas have isospin 3/2 and spin angular momentum 3/2 whereas protons and neutrons have isospin 1/2 and spin angular momentum 1/2. I'm thinking that the difference between the two is created via different linear combinations of up and down quarks that meet the isospin and spin angular requirements. For example, Δ

^{0}has the form (neglecting coefficients) ofuud + udu + duu

and Δ

^{-}has the formudd + dud + ddu

and both yield isospin = spin = 3/2

Is my thinking correct? I am having a hard time finding a simple description of the quark combinations for the proton and neutronso if anyone has a pointer that would be appreciated. I have been looking at the Wikipedia article on isospin http://en.wikipedia.org/wiki/Isospinon [Broken] but am not sure how to interpret the matrices.

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