Analysis of $2 γ$ and $π^{+} π^{-} γ$ decays of $η$ and $η^{'}$ using chiral anomalies

Publisher Website

1 October 1990

journal article
research article
Published by American Physical Society (APS) in Physical Review D

Vol. 42 (7) , 2419-2422
https://doi.org/10.1103/physrevd.42.2419

Abstract

Using chiral anomalies for

η

,

η^{'} \to 2 γ

and

η \to π^{+} π^{-} γ

amplitudes, we determine that the

η

,

η^{'}

mixing angle

θ_{P} = - 20.8 ° \pm 1.6 °

,

\frac{f_{8}}{f_{π}} = 1.23 \pm 0.06

, and

\frac{f_{0}}{f_{π}} = 1.04 \pm 0.07

. Predictions are made for the rate and dipion spectra for

η

,

η^{'} \to π^{+} π^{-} γ

.

Keywords

This publication has 18 references indexed in Scilit:

η-η’ mixing angle
Physical Review D, 1987
How large is the η-η′ mixing angle?
Physics Letters B, 1986
Chiral Loops in $π^{0}$ , $η^{0} \to γ γ$ and $η - η^{'}$ Mixing
Physical Review Letters, 1985
Nonlinear effective Lagrangian for pseudoscalar mesons in broken SU(3)×SU(3)
Physical Review D, 1984
Low-Energy Theorem for $γ \to 3 π$
Physical Review D, 1972
Low-Energy Theorem for $γ + γ \to π + π + π$
Physical Review D, 1971
Consequences of anomalous ward identities
Physics Letters B, 1971
Axial-Current Divergences and the Reactions $γ + γ \to$ Pions
Physical Review Letters, 1971
Anomalous Ward Identities in Spinor Field Theories
Physical Review B, 1969
A PCAC puzzle: π0→γγ in the σ-model
Il Nuovo Cimento A (1971-1996), 1969