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

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

2008-01-23

arxiv.org/abs/0801.3635v3

Phys.Rev.D78:074031,2008

Physics

Nuclear Physics

Nuclear Theory

version accepted for publication

Scientific paper

10.1103/PhysRevD.78.074031

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. 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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