Testing the ${\chi }_{c1}p$ composite nature of the $P_c(4450)$

Abstract

Making use of a recently proposed formalism, we analyze the composite nature of the $P_c(4450)$ resonance observed by LHCb. We show that the present data suggest that this state is almost entirely made of a ${\chi }_{c1}$ and a proton, due to the close proximity to this threshold. This also suppresses the decay modes into other, lighter channels, in our study represented by $J/\Psi p$. We further argue that this is very similar to the case of the scalar meson $f_0(980)$ which is located closely to the $K\bar{K}$ threshold and has a suppressed decay into the lighter $\pi \pi$ channel.

Comments: 6 pages, 2 tables. One more grant is acknowledged