Abstract
The exotic resonant states ${P}_{c}^{\ifmmode\pm\else\textpm\fi{}}(4312)$, ${P}_{c}^{\ifmmode\pm\else\textpm\fi{}}(4440)$, and ${P}_{c}^{\ifmmode\pm\else\textpm\fi{}}(4457)$ are studied using the constrained phase-space coalescence model plus the parton and hadron cascade (paciae) model in $pp$ collisions at $\sqrt{s}=7$, 13 TeV, respectively. The pentaquark states, the nucleuslike states, and the hadronic molecular states are considered as their possible structures based on the ${P}_{c}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}J/\ensuremath{\psi}p(\overline{p})$ bound state. The predictions about the yield, the normalized ${p}_{\mathrm{T}}$-differential yield, and the normalized rapidity-differential yield are presented for the aforementioned scenarios. The results indicate a hierarchy of the yields for different possible structures; they are all on the order of ${10}^{\ensuremath{-}6}$. These predictions can be tested by future experimental measurements.
Highlights
The pentaquark states, the nucleuslike states, and the hadronic molecular states are considered as their possible structures based on the PÆc → J=ψpðp Þ bound state
According to the different distances q12 between pðp Þ and J=ψ, the exotic states Pc can be divided into three structures as follows: the pentaquark refers to R0 1⁄4 0.9 fm, the nuclearlike state refers to R0 1⁄4 1.91 fm or 0.9 < q12 < 1.91 fm, and the molecular state refers to R0 1⁄4 5.0 fm or 1.91 < q12 < 5.0 fm [12,22]
We use the PACIAE model to simulate the production of final-state particpleffisffi with jyj < 3, 0. < pT < 10 GeV=c in pp collisions at s 1⁄4 7, 13 TeV
Summary
As the fundamental theory of the strong interactions, predicts that quarks are bound in color-neutral hadrons with variety of structures. Other structures more complex than the threequark structure are predicted by the quark model These are multiquark states, hadronic molecules, hybrid states, and glueballs [1–4], and they are collectively called exotic states. The Pc states are under the Σþc D 0, Σþc D Ã0 threshold of binding energies, which makes them possible bound states of the baryon and meson [9,11] This observation led us to choose J=ψpðp Þ to reconstruct the Pc states [12]. These thresholds could be described as loosely bound meson-baryon molecular states [13–15] and nuclearlike states [16]. The narrow Pc states have a minimal quark content duucc, which corresponds to two hiddencharm tightly bound pentaquarks [12] These observations led us to follow a similar strategy as in Ref. The above-mentioned structure scenarios are tested for each state separately
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