探索π介子诱导反应中$P_{c \bar c}$共振与背景之间的干涉
Exploring interference between $P_{c \bar c}$ resonances and background in the pion-induced reaction
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- Hunan Normal University（湖南师范大学）
- Institute of Modern Physics, Chinese Academy of Sciences（中国科学院近代物理研究所）
- University of Chinese Academy of Sciences（中国科学院大学）
- Institute of High Energy Physics, Chinese Academy of Sciences（中国科学院高能物理研究所）
- The George Washington University（乔治华盛顿大学）
- Lanzhou University of Technology（兰州理工大学）
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中文总结 AI 辅助
本文通过有效拉格朗日方法研究π介子诱导反应中五夸克共振与背景的干涉效应，发现干涉可产生复杂线形，并强调J-PARC实验测量的必要性。
中文摘要 AI 辅助
我们对近阈值$\pi^- p \to J/\psi n$反应进行了唯象学研究，重点聚焦于$s$道$P_{c \bar c}$共振与非共振背景之间的干涉效应。该反应为研究隐藏粲五夸克态的性质提供了相对于光产生过程的互补探针。采用有效拉格朗日方法，我们在两种自旋-宇称情形下构建了$J^P=1/2^-$和$3/2^-$ $P_{c\bar c}$态的散射振幅，其中背景由$t$道$\rho$介子交换主导。我们发现，干涉可以产生峰、谷或复杂的线形，具体取决于相对相位，这与先前理论研究中通常报道的简单共振峰形成对比。两种自旋-宇称情形产生定性相似的模式，表明我们的主要结论是稳健的。鉴于当前π介子诱导通道实验数据的稀缺性，我们强调迫切需要未来在J-PARC进行测量，以理解近阈值$J/\psi N$相互作用的动力学，并搜寻重五夸克态。
英文摘要
We present a phenomenological study of the near-threshold $π^- p \to J/ψn$ reaction, focusing on the interference effects between the $s-$channel $P_{c \bar c}$ resonances and non-resonance background. This reaction provides a complementary probe to photoproduction for investigating the nature of the hidden-charm pentaquark states. Using an effective Lagrangian approach, we construct scattering amplitudes for $J^P=1/2^-$ and $3/2^-$ $P_{c\bar c}$ states under two spin-parity scenarios, with the background dominated by the $t-$channel $ρ$ meson exchange. We find that the interference can produce peaks, dips, or complex line shapes depending on the relative phase, in contrast to the simple resonance peaks commonly reported in previous theoretical studies. The two spin-parity scenarios yield qualitatively similar patterns, indicating that our main conclusion is robust. Given the current scarcity of experimental data for the pion-induced channel, we emphasize the urgent need for future measurements at J-PARC to understand the dynamics of the $J/ψN$ interaction near threshold and to search for the heavy pentaquark states.
