The X(2175) as a resonant state of the $\phi K \bar{K}$ system

Source: arXiv

ABSTRACT We perform a Faddeev calculation for the three mesons system, $\phi K \bar{K}$, taking the interaction between two pseudoscalar mesons and between a vector and a pseudoscalar meson from the chiral unitary approach. We obtain a neat resonance peak around a total mass of 2150 MeV and an invariant mass for the $K \bar{K}$ system around 970 MeV, very close to the $f_0(980)$ mass. The state appears in I=0 and qualifies as a $\phi f_0(980)$ resonance. No state is seen in I=1. This finding provides a natural explanation for the recent state found at BABAR and BES, the X(2175), which decays into $\phi f_0(980)$

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    ABSTRACT: We report on four $\Sigma$'s and three $\Lambda$'s, in the 1500 - 1800 MeV region, as two meson - one baryon S-wave $(1/2)^+$ resonances found by solving the Faddeev equations in the coupled channel approach, which can be associated to the existing $S$ = -1, $J^P= 1/2^+$ low lying baryon resonances. On the other hand we also report on a new, hidden strangeness $N^*$ state, mostly made of $K \bar{K} N$, with mass around 1920 MeV, which we think could be responsible for the peak seen in the $\gamma p \to K^+ \Lambda$ around this energy. Finally we address a very novel topic in which we show how few body systems of several $\rho$ mesons can be produced, with their spins aligned up to J=6, and how these states found theoretically can be associated to several known mesons with spins J=2,3,4,5,6.
    Few-Body Systems 10/2010; 50. · 1.05 Impact Factor
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    ABSTRACT: Few body systems made of pseudoscalars, like ${K\, K \, \bar K,\,\pi \, K \, \bar K}$ , are studied within a coupled channel approach based on solving the Faddeev equations considering two-body chiral t-matrices as input. As a result, we have found dynamical generation of several states which can be associated with some of the pseudoscalar states listed by the Particle Data Group, like K(1460) or π(1300). The amplitudes obtained have been then used to study systems like f 0(980) π π and ${f_0(980)K \, \bar K}$ and an evidence for a f 0 resonance around 1,790 MeV is found.
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