Quarks and gluons in hadrons and nuclei Page: 12 of 31
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pt = - (uu)0dt + 3 (uu)ld+ (18)
(contrast Eq. (15)), and (up to mass factors)
up =. (Q+d) +- (2u-d). (19)
Suppose that uu,d e eu,d, then
uu = -2 ud (20)
uP _4u-d _ 3
UN 4d-u 2 (21)
(the neutron follows from proton by replacing u - d).
I cannot overstress the crucial, hidden role that color played here in
getting the flavor-spin correlation right.
We can extend this discussion to the full oaryon octet. Six of these states
contain two identical quark flavors (which by symmetry necessitates that this pair
have total spin S = 1):
[ E+(UU)is) ]
[E-(ss ) d]
The remaining pair are E and A, both u,d's. In the former, the (ud) have I = 1
and hence S = 1. For the A , on the other hand, the (ud) have I = 0 and hence
S = 0.
Thus the A0 [(u,d)0s] is analogous to the He3 nuclear example. The magnetic
moment is carried entirely by the third quark, namely s. The data yield8
uA +us = ud . (23)
The strange and down quarks have the same charge (-1/3) and so the datum
md = m (24)
as already noted.
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Close, F. E. Quarks and gluons in hadrons and nuclei, article, December 1, 1989; Tennessee. (https://digital.library.unt.edu/ark:/67531/metadc1058782/m1/12/: accessed March 18, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.