Gauge theories based on quarks and the eta ---> 3pi problem
19736 pages
Published in:
- Phys.Rev.D 8 (1973) 4212-4217
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Abstract: (APS)
If chiral U(3)L×U(3)R symmetry is broken only in the (3,3*) + (3*,3) manner (ignoring weak and electromagnetic interactions), as is the case for the class of renormalizable gauge theories based on quarks and the simple quark-gluon model, then it is shown that the contribution of the U3 term to the η→3π decay treated to all orders in perturbation theory leads to a grossly incorrect slope and perhaps a suppressed magnitude contrary to usual expectations. Exceptions to the above result might have arisen if either of the interesting relations 2ε0+ε8=0 or 2ε0+ε8=±3ε3 were satisfied exactly, which, however, does not seem to be permitted by nature. Thus η→3π decay remains a major problem for the class of models mentioned above, even in the presence of the U3 term.- field theory: gauge
- quark
- eta(549): decay
- decay: eta(549)
- symmetry: u(3)l x u(3)r
- symmetry: chiral
- perturbation theory
- model: gluon
- final state
- eta(549) --> 3pi
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