What Particles Could Have Spin 2 1/2 in Physics?

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The "spin family" art works have a model of something with spin 2 1/2. I can't find any particle with this property. The max seems to be the graviton with spin 2.

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ImaLooser said:
The "spin family" art works have a model of something with spin 2 1/2. I can't find any particle with this property. The max seems to be the graviton with spin 2.

?

OK, I'm going to assume that there is no such thing, sculpture notwithstanding.
 
There aren't any elementary particles with spin 5/2 is nature. There are however bound states with total angular momentum 5/2. Examples include certain excited states of the proton and neutron, as well as atomic ions like Cu2+.
 
fzero said:
There aren't any elementary particles with spin 5/2 is nature. There are however bound states with total angular momentum 5/2. Examples include certain excited states of the proton and neutron, as well as atomic ions like Cu2+.

Aha, now we're getting somewhere. So is there any theoretical limit on the amount of spin a particle can have?