Plausibility of the LHCb P_c(4312)⁺ in the GlueX p J/p total cross sections

New high-statistics total cross-section data for gamma p -> J/psi p 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 pb(-1). The fits show that destructive interference involving an S-wave resonance and associated nonresonance background produces a sharp dip structure about 77 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.