Forming Molecular States with Hadronic Rescattering

Abstract

A method for modelling the prompt production of molecular states using the hadronic rescattering framework of the general-purpose Pythia event generator is introduced. Production cross sections of possible exotic hadronic molecules via hadronic rescattering at the LHC are calculated for the ${\chi }_{c1}(3872)$ resonance, a possible tetraquark state, as well as three possible pentaquark states, $P_c^{+}(4312)$, $P_c^{+}(4440)$, and $P_c^{+}(4457)$. For the $P_c^{+}$ states, the expected cross section from ${\Lambda }_b$ decays is compared to the hadronic-rescattering production. The ${\chi }_{c1}(3872)$ cross section is compared to the fiducial ${\chi }_{c1}(3872)$ cross-section measurement by LHCb and found to contribute at a level of O(1%). Finally, the expected yields of $P_c^{+}$ production from hadronic rescattering during Run 3 of LHCb are estimated. The prompt background is found to be significantly larger than the prompt $P_c^{+}$ signal from hadronic rescattering.

arXiv comment18 pages, 6 figures

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• Event Generators for High-Energy Physics Experiments
• QED theory of the nuclear recoil with finite size
• Structure and production mechanism of the enigmatic $X(3872)$ in high-energy hadronic reactions