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arXiv · 1607.02102

Looking for bound states and resonances in the $\eta^\prime K\bar K$ system

A. Martínez Torres·K. P. Khemchandani
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Abstract

Motivated by the continuous experimental investigations of $X(1835)$ in three-body decay channels like $\eta^\prime \pi^+ \pi^-$, we investigate the $\eta^\prime K \bar K$ system with the aim of searching for bound states and/or resonances when the dynamics involved in the $K\bar K$ subsystem can form the resonances: $f_0(980)$ in isospin 0 or $a_0(980)$ in isospin 1. For this, we solve the Faddeev equations for the three-body system. The input two-body $t$-matrices are obtained by solving Bethe-Salpeter equations in a coupled channel formalism. As a result, no signal of a three-body bound state or resonance is found.

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A. Martínez Torres, K. P. Khemchandani. 2016-07-07. Looking for bound states and resonances in the $\eta^\prime K\bar K$ system. https://doi.org/10.1103/physrevd.94.076007

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