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2008

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

Torres, A. Martínez, Khemchandani, K. P., Geng, L. S. et al.

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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.
We enlarge the space of states including $\phi \pi \pi$, since $\pi \pi$ and $K \bar{K}$ build up the $f_0$ (980), and find moderate changes that serve to quantify theoretical uncertainties.

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

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