Re: Spin 1/2 Baryons Question?




Jim King Wrote:
Hello,

Could someone please give me an explanation for the fact that spin 1/2

Baryons in the octet
cannot consist of three quarks of the same flavor as the Delta++ for
example.

THX
Jim.
The three fermion quarks in a baryon are in a completely antisymmetric
state with respect to color. The Pauli principle then requires that
the spin-space wave function be completely symmetric with respect to
quark interchange for three identical u quarks. The assumption is made
that the spatial wave function is completely symmetric and has no
internal or total orbital angular momentum. This means that the spin
state for the three u quarks must be completely symmetric under quark
interchange, and the quark spins must add up to the spin of the
baryon.
The spin state for 1/2+1/2+1/2=3/2 is completely symmetric and
corresponds to the Delta++.
The spin state for 1/2+1/2+1/2=1/2 has mixed symmetry, and so cannot
exist for three u quarks.




--
Meir Achuz
.



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