arXiv · 1904.08271
The $\chi_{cJ}$ decay to $\phi K^* \bar K, \phi h_1(1380)$ testing the nature of axial vector meson resonances
Abstract
We perform a theoretical study of the $\chi_{cJ} \to \phi K^* \bar K \to \phi K\pi \bar K$ reaction taking into account the $K^* \bar K$ final state interaction, which in the chiral unitary approach is responsible, together with its coupled channels, for the formation of the low lying axial vector mesons, in this case the $h_1(1380)$ given the selection of quantum numbers. Based on this picture we can easily explain why in the $\chi_{c0}$ decay the $h_1(1380)$ resonance is not produced, and, in the case of $\chi_{c1}$ and $\chi_{c2}$ decay, why a dip in the $K^+ \pi^0 K^-$ mass distribution appears in the 1550-1600 MeV region, that in our picture comes from a destructive interference between the tree level mechanism and the rescattering that generates the $h_1(1380)$ state. Such a dip is not reproduced in pictures where the nominal $h_1(1380)$ signal is added incoherently to a background, which provides support to the picture where the resonance appears from rescattering of vector-pseudoscalar components.
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Sheng-Juan Jiang, S. Sakai, Wei-Hong Liang, E. Oset. 2019-04-17. The $\chi_{cJ}$ decay to $\phi K^* \bar K, \phi h_1(1380)$ testing the nature of axial vector meson resonances. https://doi.org/10.1016/j.physletb.2019.134831
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