Prompt production of the hidden charm pentaquarks in the LHC

Abstract

Motivated by the observation of the first hidden charm pentaquarks by the LHCb collaboration in 2015 and the updated analysis with an order-of-magnitude larger data set in 2019, we estimate their cross sections for the prompt production as well as their heavy quark spin partners, in the Σ ( * ) c D( * ) hadronic molecular picture, at the center-of-mass energy 7 TeV in the pp collision. Their cross sections are several nb and we would expect several tens hidden charm pentaquark events in the LHC based on its current integrated luminosity. The cross sections show a sizable deviation of the cross sections for hidden charm pentaquarks with the third isospin component I z = + 1 2 (P + c ) from those with I z = − 1 2 (P 0 c ). The cross sections decrease dramatically with the increasing transverse momentum, which indicates that the production dynamics is the non-perturbative strong interaction. Our study can also tell where to search for the missing hidden charm pentaquarks. The confirmation of the complete hidden charm pentaquarks in the heavy quark symmetry would further verify their Σ ( * ) c D( * ) molecular interpretation and exclude other potential explanations, such as the triangle singularity interpretations and compact pentaquarks. In addition, the relative strength among these cross sections for pentaquarks can help us to identify the quantum numbers of the P c (4440) and P c (4457).

Semi-inclusive lepto-production of hidden-charm exotic hadrons *

“…The mechanism can be applied to the and states, which are known to couple strongly to the pair (and their antiparticles) [34,[84][85][86][87][88] as well as to the hidden-charm pentaquarks. It has been used for estimating the prompt production cross sections of the state [89,90] and its partners [83], the and states [91], the charm-strange hadronic molecules [82], and the states [92] at hadron colliders. As for the production of the state, despite the debates [11,83,89,90,[93][94][95][96][97][98][99][100][101], the estimated total cross sections [83,90] are consistent with the CDF [102] and CMS [103] measurements.…”