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arXiv · 1611.05383

Revising the $f_1(1420)$ resonance

V. R. Debastiani·F. Aceti·Wei-Hong Liang·E. Oset
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Abstract

We have studied the production and decay of the $f_1(1285)$ into $πa_0(980)$ and $K^* \bar K$ as a function of the mass of the resonance and find a shoulder around 1400 MeV, tied to a triangle singularity, for the $πa_0(980)$ mode, and a peak around 1420 MeV with about 60 MeV width for the $K^* \bar K$ mode. Both these features agree with the experimental information on which the $f_1(1420)$ resonance is based. In addition, we find that if the $f_1(1420)$ is a genuine resonance, coupling mostly to $K^* \bar K$ as seen experimentally, one finds unavoidably about a 20\% fraction for $πa_0(980)$ decay of this resonance, in drastic contradiction with all experiments. Altogether, we conclude that the $f_1(1420)$ is not a genuine resonance, but the manifestation of the $πa_0(980)$ and $K^* \bar K$ decay modes of the $f_1(1285)$ at higher energies than the nominal one.

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V. R. Debastiani, F. Aceti, Wei-Hong Liang, E. Oset. 2016-11-23. Revising the $f_1(1420)$ resonance. https://doi.org/10.1103/physrevd.95.034015

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