Is the LHCb $P_c(4312{)}^{+}$ plausible in the GlueX ${\hat{I}}^{3}p\to J/\ddot{I}ˆp$ total cross sections ?

Abstract

New high-statistics total cross section data for ${\hat{I}}^{3}p\to J/\ddot{I}ˆp$ from the GLUonic EXcitation (GlueX) experiment are fitted in a search for the exotic $P_c(4312{)}^{+}$ state observed by the Large Hadron Collider beauty (LHCb) collaboration. The integrated luminosity of this GlueX experiment was about $320\mathrm{p}{\mathrm{b}}^{-1}$. The fits show that destructive interference involving an $S$-wave resonance and associated non-resonance background produces a sharp dip structure about $75\mathrm{MeV}$ below the LHCb mass, in the same location as a similar structure is seen in the data. Limitations of the employed model and the need for improved statistics are discussed.

4 pages, 3 figures, 2 tables