Production Mechanisms of isoscalar pseudotensor mesons in pion and kaon induced reactions

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Main Authors: Lu, Dong-En, Wang, Li-Ming
Format: Preprint
Published: 2025
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author Lu, Dong-En
Wang, Li-Ming
author_facet Lu, Dong-En
Wang, Li-Ming
contents The recent observation of the X(2600) resonance by the BESIII Collaboration has motivated a renewed interest in the spectroscopy of light mesons, particularly pseudotensor states. However, a significant theoretical gap exists in the poorly explored spectrum of isoscalar pseudotensor mesons, where several predicted radial excitations remain unobserved. To address this, we investigate the production of four such states ($η_2(4D)$, $η'_2(2D)$, $η'_2(3D)$, and $η'_2(4D)$) employing an effective Lagrangian approach combined with Regge trajectory phenomenology to describe the high-energy behavior of the reactions. Our calculations reveal a distinct production selectivity: the $η_2(4D)$ state is more prominent in pion induced ($π^- p \to η_2 n$) reactions, whereas the $η'_2(2D, 3D, 4D)$ states are preferentially produced in kaon induced ($K^- p \to η_2 Λ$) processes. Moreover, the total cross sections for these states exhibit characteristic peaks at specific beam momenta, providing clear kinematic windows for their discovery. This study provides the first comprehensive theoretical predictions for the production cross sections of these predicted mesons, offering crucial guidance for future experimental searches.
format Preprint
id arxiv_https___arxiv_org_abs_2511_14011
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Production Mechanisms of isoscalar pseudotensor mesons in pion and kaon induced reactions
Lu, Dong-En
Wang, Li-Ming
High Energy Physics - Phenomenology
The recent observation of the X(2600) resonance by the BESIII Collaboration has motivated a renewed interest in the spectroscopy of light mesons, particularly pseudotensor states. However, a significant theoretical gap exists in the poorly explored spectrum of isoscalar pseudotensor mesons, where several predicted radial excitations remain unobserved. To address this, we investigate the production of four such states ($η_2(4D)$, $η'_2(2D)$, $η'_2(3D)$, and $η'_2(4D)$) employing an effective Lagrangian approach combined with Regge trajectory phenomenology to describe the high-energy behavior of the reactions. Our calculations reveal a distinct production selectivity: the $η_2(4D)$ state is more prominent in pion induced ($π^- p \to η_2 n$) reactions, whereas the $η'_2(2D, 3D, 4D)$ states are preferentially produced in kaon induced ($K^- p \to η_2 Λ$) processes. Moreover, the total cross sections for these states exhibit characteristic peaks at specific beam momenta, providing clear kinematic windows for their discovery. This study provides the first comprehensive theoretical predictions for the production cross sections of these predicted mesons, offering crucial guidance for future experimental searches.
title Production Mechanisms of isoscalar pseudotensor mesons in pion and kaon induced reactions
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2511.14011