UA(1) symmetry breaking, scalar mesons and the nucleon spin problem in an effective chiral field theory
✍ Scribed by V. Dmitrašinović
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 133 KB
- Volume
- 686
- Category
- Article
- ISSN
- 0375-9474
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✦ Synopsis
We establish a relationship between the scalar-meson spectrum and the U A (1) symmetry-breaking 't Hooft interaction on one hand and the constituent-quark flavor singlet axial coupling constant g (0)
A,Q on the other, using an effective chiral quark field theory. This analysis leads to the new sum rule g
, where η , η, K are the observed pseudoscalar mesons, K * 0 is the strange scalar meson at 1430 MeV and f 0 , f 0 are "the eighth and the ninth" scalar mesons. We discuss the relationship between the constituent-quark flavor singlet axial coupling constant g (0)
A,Q and the nucleon one g (0)
A,N ("nucleon spin content") in this effective field theory. We also relate g (0)
A,Q as well as the flavour octet constituent-quark axial coupling constant g (1) A,Q to vector and axial-vector meson masses in general as well as in the tight-binding limit.