Heavy pentaquark states $P_c(4380)$ and $P_c(4450)$ in the $J/\psi$ production induced by pion beams off the nucleon

Abstract

In this study, we investigate the $J/\psi$ production induced by pion beams off the nucleon, particularly the heavy pentaquarks $P_c(4380)$ and $P_c(4450)$ in intermediate states, based on a hybridized Regge model. The process involving $\rho$ and $\pi$ meson exchange in the $t$ channel is considered as background, and the heavy pentaquark exchange is included in the $s$ channel. The coupling constants such as the $\rho NN$ and $\pi NN$ vertices are taken from the $NN$ potentials, whereas those for the $J/\psi \rho \pi$ and $J/\psi \pi \pi$ vertices are determined by using experimental data based on the branching ratios. In order to estimate the $P_c(4380)$ and $P_c(4450)$ coupling constants, we use the experimental upper limit on the total cross section as a guide for the $\pi N\to J/\psi N$ reaction. The background total cross section is the order of $10^{-4}-10^{-3}$ nb. In the vicinity of the heavy pentaquark masses, the total cross section reaches about $1$ nb.

13 pages, 6 figures. To be published in Phys. Lets. B

References in corpus (4)

• Big-Bang Nucleosynthesis
• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• Pion induced Reactions for Charmed Baryons
• Exclusive charm production in pbar p collisions at s^1/2 <15 GeV

Cited by in corpus (18)

• Hadronic molecules
• Pentaquark and Tetraquark states
• $P_c$ pentaquarks with chiral tensor and quark dynamics
• Decay behaviors of Pc hadronic molecules
• Hidden-charm and bottom meson-baryon molecules coupled with five-quark states
• Hidden-charm pentaquarks as a meson-baryon molecule with coupled channels for ${\bar{D}}^{(\ast )}{\Lambda }_{\mathrm{c}}$ and ${\bar{D}}^{(\ast )}{\Sigma }_{\mathrm{c}}^{(\ast )}$
• Hidden-charm pentaquarks and their hidden-bottom and $B_c$-like partner states
• The hidden charm pentaquarks are the hidden color-octet $uud$ baryons?
• Pion-induced production of hidden-charm pentaquarks $P_c(4312),P_c(4440)$, and $P_c(4457)$
• Production of hidden-charm strange pentaquarks $P_{cs}$ from the $K^{-}p\to J/\psi \Lambda$ reaction
• Revisiting hidden-charm pentaquarks from QCD sum rules
• Identify the hidden charm pentaquark signal from non-resonant background in electron-proton scattering
• Production of hidden-charm and hidden-bottom pentaquark states in electron-proton collisions
• Hidden-charm Pentaquark Production at $e^{+}{e}^{-}$ Colliders
• Prospects for detecting the hidden-strange pentaquarklike state $N^{\ast }(2080)$ in the ${\pi }^{-}p\to \varphi n$ reaction
• Heavy baryon production with an instanton interaction
• Photoproduction of the scalar mesons $f_0(500)$ and $f_0(980)$ off the nucleon
• Kaon-induced production of strange hidden-charm molecular pentaquarks $P_{\psi s}^{\Lambda }$ from proton