The puzzle of anomalously large isospin violations in $η(1405/1475)\to 3π$

Details The puzzle of anomalously large isospin violations in $η(1405/1475)\to 3π$ The puzzle of anomalously large isospin violations in $η(1405/1475)\to 3π$

2011-08-18

arxiv.org/abs/1108.3772v3

Phys. Rev. Lett. 108, 081803 (2012)

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages and 7 eps figures; Journal-matched version

Scientific paper

The BES-III Collaboration recently report the observation of anomalously large isospin violations in $J/\psi\to \gamma\eta(1405/1475) \to \gamma \pi^0 f_0(980)\to \gamma +3\pi$, where the $f_0(980)$ in the $\pi\pi$ invariant mass spectrum appears to be much narrower ($\sim$ 10 MeV) than the peak width ($\sim$50 MeV) measured in other processes. We show that a mechanism, named as triangle singularity (TS), can produce a narrow enhancement between the charged and neutral $K\bar{K}$ thresholds, i.e., $2m_{K^\pm}\sim 2m_{K^0}$. It can also lead to different invariant mass spectra for $\eta(1405/1475)\to a_0(980)\pi$ and $K\bar{K}^*+c.c.$, which can possibly explain the long-standing puzzle about the need for two close states $\eta(1405)$ and $\eta(1475)$ in $\eta\pi\pi$ and $K\bar{K}\pi$, respectively. The TS could be a key to our understanding of the nature of $\eta(1405/1475)$ and advance our knowledge about the mixing between $a_0(980)$ and $f_0(980)$.

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