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arXiv · 1106.6101

Theoretical support for the $\pi(1300)$ and the recently claimed $f_0(1790)$ as molecular resonances

A. Martínez Torres·K. P. Khemchandani·D. Jido·A. Hosaka
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Abstract

A study of three-pseudoscalar $\pi K \bar{K}$ and $\pi \pi \eta$ coupled system is made by solving the Faddeev equations within an approach based on unitary chiral dynamics. A resonance with total isospin one and spin-parity $J^\pi = 0^-$ is found with mass $\sim$ 1400 MeV when the $K \bar{K}$ system gets reorganized as the $f_0(980)$. This resonance is identified with the $\pi (1300)$ listed by the Particle Data Group. Further, the two-body amplitude which describes the interaction between a $\pi$ and the $f_0(980)$ is extracted from the study of the $\pi K\bar K$ and $\pi\pi\eta$ system and is then employed to study the $f_0(980)\pi \pi $ system. As a result, a scalar resonance is found near 1790 MeV which drives the two $ f_0 (980)\pi$ systems to resonate as the $\pi (1300)$ while the invariant mass of the two pions falls in the mass region of the scalar $\sigma (600)$. These findings support the existence of a new $f_0$ resonance near 1790 MeV, as found by the BES and Crystal Barrel collaborations. Our results show that this $f_0(1790)$ is definitely distinct to $f_0(1710)$, the latter of which seems to possess a glueball structure dominantly.

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A. Martínez Torres, K. P. Khemchandani, D. Jido, A. Hosaka. 2011-06-30. Theoretical support for the $\pi(1300)$ and the recently claimed $f_0(1790)$ as molecular resonances. https://doi.org/10.1103/physrevd.84.074027

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