# Obtaining the decuplet of baryon states from one state

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## Main Question or Discussion Point

Hi, guys.

If you are given one state of the baryon decuplet (the upper-right state $\Deltaˆ{++}=uuu$, for instance), you can use the ladder operators to get the other states of the decuplet.
When I apply $T_-$ to uuu and normalizing, I get $\frac{1}{\sqrt{3}}(duu+udu+uud)$. However, in the decuplet I see $\Deltaˆ+=uud$ instead of $\frac{1}{\sqrt{3}}(duu+udu+uud)$. Why?

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Orodruin
Staff Emeritus
Well, as I understand it now, people use $uud$ as written above as an abbreviation...