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 Sigma _c^{(*)}bar{D}^{(*)} hadronic molecular picture, at the center-of-mass energy 7~text {TeV} in the pp collision. Their cross sections are several {mathrm {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=+frac{1}{2} (P_c^+) from those with I_z=-frac{1}{2} (P_c^0). The cross sections decrease dramatically with the increasing transverse momentum. 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 Sigma _c^{(*)}bar{D}^{(*)} molecular interpretation. 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).
Highlights
The successful prediction of the baryon has set a milestone of the conventional quark model, which hints the existence of the color degree of freedom and leads to the fundamental theory of the strong interaction, i.e. quantum chromodynamics (QCD)
We employ the formula presented in Refs. [76,77] to estimate the cross sections of inclusive prompt productions of hidden charm pentaquarks observed by LHCb in 2019
(∗) c hadronic molecular picture, we estimate the prompt cross sections of the s√evsen=h7iddTeenVcihnartmhe pentaquarks at center-of-mass pp collision
Summary
The successful prediction of the baryon has set a milestone of the conventional quark model, which hints the existence of the color degree of freedom and leads to the fundamental theory of the strong interaction, i.e. quantum chromodynamics (QCD). As they strongly decay into J/ψ p, they contain as least ccuud five quarks unambiguously Even before their observation, the hidden charm pentaquarks were proposed analogous to the excited baryons in light sector, e.g. in Refs. The peaking structures in J/ψ p distributions may be caused by kinematical effects, e.g. triangle singularities or cusps [25,51,70]. The triangle singularities arise when all three hadrons in the trianglediagrams are nearly on mass shells and are manifested as peaks in the mass distributions [15]. Searching for the hidden pentaquark states in the prompt production with a large incoming energy region will help to exclude the potential triangle singularity interpretation. A brief summary and outlook are given in the last section
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