Systematic study on production of hidden-bottom pentaquark via $\gamma p$ and ${\pi }^{-}p$ scatterings

Abstract

The production of hidden-bottom pentaquark $P_b$ states via $\gamma p$ and ${\pi }^{-}p$ scatterings is studied within an effective Lagrangian approach and the vector-meson-dominance mechnism. For the $P_b$ production in the process $\gamma p\to {\rm Y}p$, the dipole Pomeron model is employed to calculate the background contribution, and the experimental data can be well described. For the process ${\pi }^{-}p\to {\rm Y}n$, the Reggeized $t$-channel with $\pi$ exchange is considered as the main background for the $P_b$ production. Near the threshold, two-peak structure from the states $P_{b (11080)$ and $P_b(11125)$ can be observed if energy bin width is chosen as 0.01 GeV, and the same result is obtained in the ${\pi }^{-}p$ scattering. Moreover, by taking the branching ratio of Br$[P_b\to \pi N]\simeq 0.05\%$, the numerical result shows that the average value of cross section from the $P_b(11080)$ state produced in the $\gamma p$ or ${\pi }^{-}p$ scattering reaches at least 0.1 nb with a bin of 0.1 GeV. Even if we reduce the branching ratio of the $P_b$ state into $\pi N$ channel by one order, the theoretical average of the cross section from $P_b(11080)$ production in ${\pi }^{-}p$ scattering can reach the order of 0.01 nb with a bin of 0.1 GeV, which means that the signal can still be clearly distinguished from the background. The experimental measurements and studies on the hidden-bottom pentaquark $P_b$ state production in the $\gamma p$ or ${\pi }^{-}p$ scattering near-threshold energy region around $W\simeq 11$ GeV are strongly suggested, which are accessible at COMPASS and JPARC. Particularly, the result of the photoproduction suggests that it is very promising to observe the hidden-bottom pentaquark at proposed EicC facility in China.

arXiv comment7 pages, 7 figures

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Cited by in corpus (13)

• Electron-Ion Collider in China
• Selected Science Opportunities for the EicC
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• Hidden-bottom molecular states from ${\Sigma }_b^{(\ast )}{B}^{(\ast )}-{\Lambda }_b{B}^{(\ast )}$ interaction
• Photo- and electro-production of narrow exotic states: from light quarks to charm and up to bottom
• Production of hidden-charm and hidden-bottom pentaquark states in electron-proton collisions
• Probing hidden-bottom pentaquarks in fixed-target collisions at the LHC
• Investigation of a candidate spin-$\frac{1}{2}$ hidden-charm triple strange pentaquark state $P_{csss}$
• Hidden-Bottom Pentaquarks: Mass Spectrum, Magnetic Moments and Partial Widths
• Production of vector mesons in pentaquark states resonance channel in $p$-$A$ ultraperipheral collisions
• Prospects for detecting the hidden-strange pentaquarklike state $N^{\ast }(2080)$ in the ${\pi }^{-}p\to \varphi n$ reaction
• Production potential of hidden-strange molecular pentaquarks through the ${\pi }^{-}p\to K^{\ast }\Sigma$ process
• Production of the bottomonium-like states $Z_b$ states at $e$-$h$ and ultraperipheral $h$-$h$ collisions