Plausibility of the LHCb <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mn>4312</mml:mn><mml:mo>)</mml:mo></mml:mrow><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math> in the GlueX <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>γ</mml:mi><mml:mi>p</mml:mi><mml:mo>→</mml:mo><mml:mi>J</mml:mi><mml:mo>/</mml:mo><mml:mi>ψ</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math> total cross sections
I. I. Strakovsky, W. J. Briscoe, E. Chudakov, I. Larin, L. Pentchev, A. Schmidt, R. L. Workman
Abstract
New high-statistics total cross-section data for $\ensuremath{\gamma}p\ensuremath{\rightarrow}J/\ensuremath{\psi}p$ 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 ${\mathrm{pb}}^{\ensuremath{-}1}$. 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.