= Spin-flavour symmetry
= Spin-flavor symmetry
{synonym}
For three light flavours and two spin states, an approximate $SU(6)$ <spin-flavour symmetry> acts on the six-dimensional single-quark spin-flavour space. A spatial ground-state three-quark <colour singlet> requires the symmetric representation of dimension $56$. Under <flavour symmetry> and ordinary spin rotations, it decomposes as $(\mathbf{10},\mathbf4)\oplus(\mathbf8,\mathbf2)$: the <baryon decuplet> has spin $3/2$ and the <baryon octet> spin $1/2$. The product of spin and flavour factors can require a correlated sum, rather than a single unentangled product.
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