Decayη′→ηππas a Test of Chiral Symmetry Breaking
- 1 April 1973
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 7 (7), 2100-2105
- https://doi.org/10.1103/physrevd.7.2100
Abstract
The width of the decay is estimated in the (8, 8) model of chiral symmetry breaking. Under plausible additional assumptions we find MeV together with an experimentally uninteresting upper limit. In particular, the (8, 8) model is - at least under present extrapolation errors in the Dalitz plot of the decay - consistent with any above our lower limit and below the experimental upper limit MeV. The actual width may be expected to be around 1 MeV in perfect agreement with the (8, 8) model. Our assumptions include that the dimension of the chiral-symmetry-breaking Hamiltonian density has the particularly attractive value 2. For this value, the conventional (3, ¯3) ⊕ (¯3, 3) model predicts MeV. Despite the large extrapolation errors the decay therefore clearly distinguishes between the two models and might be decisive. For any given extrapolation the estimated of the (8, 8) model is at least 13 times bigger than the prediction of the (3, ¯3) ⊕ (¯3, 3) model for . For a prediction can also be obtained in the (3, ¯3) ⊕ (¯3, 3) model with a -number . It reads MeV and is roughly compatible with the expected width. The is taken to be a possible ninth pseudoscalar meson throughout. It is however emphasized that nonexistence of an SU(3) scalar meson might be a plausible alternative in the (8, 8) model.
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