SU(3) Ladder Operators
SU(3) Ladder Operators
SU(3) Ladder Operators
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Quarks and anti-quarks in <strong>SU</strong>(3) Flavour<br />
Quarks<br />
d<br />
u<br />
s<br />
•The anti-quarks have opposite <strong>SU</strong>(3) flavour quantum numbers<br />
s<br />
Anti-Quarks<br />
u<br />
d<br />
Prof. M.A. Thomson Michaelmas 2011 230<br />
<strong>SU</strong>(3) <strong>Ladder</strong> <strong>Operators</strong><br />
•<strong>SU</strong>(3) uds flavour symmetry contains ud, us<br />
and ds <strong>SU</strong>(2) symmetries<br />
•Consider the symmetry “V-spin” which has<br />
the associated ladder operator<br />
<strong>SU</strong>(3) LADDER<br />
OPERATORS<br />
d<br />
u<br />
with<br />
The effects of the six ladder operators are:<br />
s<br />
s<br />
all other combinations give zero<br />
u d<br />
Prof. M.A. Thomson Michaelmas 2011 231
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