Production potential of hidden-strange molecular pentaquarks through the ${\pi }^{-}p\to K^{\ast }\Sigma$ process

Abstract

In this study, applying the effective Lagrangian approach, we investigate the reaction ${\pi }^{-}p\to K^{\ast }\Sigma$ to explore the production of the hidden-strange molecular pentaquarks $P_{s\bar{s}}$. Specifically, we analyze two scenarios, where the $J^P$ quantum numbers of $P_{s\bar{s}}$ are $3/2^{-}$ and $1/2^{-}$. Our results show that the contribution from $s$-channel $P_{s\bar{s}}$ exchange dominates the total cross section, surpassing those from $t$-channel $K^{(\ast )}$ exchange and $u$-channel $\Sigma$ exchange. Additionally, we present predictions for the differential cross section of the ${\pi }^{-}p\to K^{\ast }\Sigma$ process. Finally, we extend the 2-to-2 scattering process to the 2-to-3 Dalitz process and provide theoretical predictions for this scenario. Our findings suggest that the cross section for the ${\pi }^{-}p\to K^{\ast }\Sigma \to K^{+}{\pi }^{-}{\Sigma }^0$ process can reach several tens of $\mu b$ near the threshold, making it highly favorable for experimental measurement. However, the current scarcity of experimental data for the ${\pi }^{-}p\to K^{\ast }\Sigma$ reaction at threshold energy limits our ability to determine the properties of the hidden-strange molecular pentaquarks $P_{s\bar{s}}$ and related physical quantities. Therefore, additional experimental measurements of the ${\pi }^{-}p\to K^{\ast }\Sigma$ reaction at threshold are strongly encouraged, and correlation studies could be pursued at facilities such as J-PARC, AMBER, and upcoming HIKE and HIAF meson beam experiments.

12 Pages, 17 Figures, 6 Tables

References in corpus (18)

• Pentaquark and Tetraquark states
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• An updated review of the new hadron states
• Dynamical coupled-channel model of meson production reactions in the nucleon resonance region
• The role of $N^{\ast }(1535)$ in $pp\to pp\varphi$ and ${\pi }^{-}p\to n\varphi$ reactions
• Possibility to study pentaquark states $P_c(4312),P_c(4440)$, and $P_c(4457)$ in $\gamma p\to J/\psi p$ reaction
• Vector meson-Baryon dynamics and generation of resonances
• Evidence for a new ${\Sigma }^{\ast }$ resonance with $J^P=1/2^{-}$ in the old data of $K^{-}p\to \Lambda {\pi }^{+}{\pi }^{-}$ reaction
• The role of the $N^{\ast }(2080)$ resonance in the $\vec{\gamma }p\to K^{+}\Lambda (1520)$ reaction
• The role of the N*(1535) resonance and the pi^- p --> KY amplitudes in the OZI forbidden pi N --> phi N reaction
• Production of the ${\eta }_1(1855)$ through kaon induced reactions under the assumptions that it is a molecular or a hybrid state
• Role of the ${\Delta }^{\ast }(1940)$ in the ${\pi }^{+}p\to K^{+}{\Sigma }^{+}(1385)$ and $pp\to n{K}^{+}{\Sigma }^{+}(1385)$ reactions
• Searching for $X_0(2900)$ and $X_1(2900)$ through the kaon induced reactions
• Exploring kaon induced reactions for unraveling the nature of the scalar meson $a_0(1817)$
• Investigation of pion-induced $f_1(1285)$ production off a nucleon target within an interpolating Reggeized approach
• Double Exotic States Productions in Pion and Kaon Induced Reactions
• The production of neutral $N^{\ast }(11052)$ resonance with hidden beauty from ${\pi }^{-}p$ scattering
• Prospects for detecting the hidden-strange pentaquarklike state $N^{\ast }(2080)$ in the ${\pi }^{-}p\to \varphi n$ reaction

Cited by in corpus (3)

• Producing $\Lambda (1405)$ and $\Lambda (1520)$ in ${\pi }^{-}p$ reaction to explore their inner structures
• Analysis of $J/\psi$ and $\psi (2S)$ Charmonium Production in Ultraperipheral Lead-Lead and Proton-Lead Collisions at LHC Energies
• Proposed mixing between $2P$ and $1F$ wave charmonia