Measurement of branching fractions of psi(3686) -> phi eta ', phi f(1) (1285) and phi eta(1405)

Abstract

Using a sample of 448.1 x 10(6) psi(3686) events collected with the BESIII detector, we perform a study of the decay psi(3686) -> phi pi(+)pi(-)eta. The branching fraction of psi(3686) -> phi eta' is determined to be (1.51 +/- 0.16 +/- 0.12) x 10(-5), which is consistent with the previous measurement but with significantly improved precision. The resonances f(1)(1285) and eta(1405) are clearly observed in the pi(+)pi(-)eta mass spectrum with statistical significances of 18s and 9.7 sigma, respectively. The corresponding product branching fractions are measured to be B(psi(3686) -> phi f(1)(1285), f(1)(1285) -> pi(+)pi(-)eta) = )1.03 +/- 0.10 +/- 0.09) x 10(-5) and B(psi(3686) -> phi eta(1405), eta(1405) -> pi(+)pi(-)eta) = (8.46 +/- 1.37 +/- 0.92) x 10(-6). These results are used to test the perturbative QCD "12% rule."