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arXiv · 0801.3635

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

A. Martínez Torres·K. P. Khemchandani·L. S. Geng·M. Napsuciale·E. Oset
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Abstract

We perform a Faddeev calculation for the three mesons system, $ϕK \bar{K}$, 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 $ϕf_0(980)$ resonance. We enlarge the space of states including $ϕππ$, since $ππ$ 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 $ϕf_0(980)$.

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A. Martínez Torres, K. P. Khemchandani, L. S. Geng, M. Napsuciale, E. Oset. 2008-11-04. X(2175) as a resonant state of the $ϕK \bar{K}$ system. https://doi.org/10.1103/physrevd.78.074031

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