雷杰（Regge）唯象学框架下$ncnc\bar{c}$、$nnnn\bar{c}$与$nnnc\bar{c}$五夸克的能谱研究
Spectroscopy of $ncnc\bar{c}$, $nnnn\bar{c}$, and $nnnc\bar{c}$ pentaquarks within the framework of Regge phenomenology
AI总结：
本研究基于雷杰唯象学，采用最小簇加和假设，计算$ncnc\bar{c}$等三种五夸克系统的质量谱，为相关理论研究及实验搜寻提供参考。
摘要：
我们在领头阶线性雷杰近似下，研究$ncnc\bar{c}$、$nnnn\bar{c}$和$nnnc\bar{c}$五夸克系统的质量谱，其中$n$代表轻夸克$u$或$d$。我们将重子截距与逆斜率加和关系推广至这些系统，采用紧凑色反三重态双夸克的最小簇加和假设，而非将其视为精确的量子色动力学（QCD）关系。通过分析$(J,M^2)$平面内的对应轨迹，我们首先确定基态$ncnc\bar{c}$五夸克的允许质量范围，并提取相关雷杰参数；利用这些输入，我们估算$ncnc\bar{c}$、$nnnn\bar{c}$和$nnnc\bar{c}$系统激发态的质量区间，还得到了解析质量不等式关系。所得能谱沿雷杰轨迹随总自旋和轨道激发增加呈现系统有序性，我们进一步将预测态与选定的运动学相容的介子-重子阈值对比，作为可能邻近道的定性参考。我们的结果为未来理论研究提供有用参考，也可作为开放粲与隐粲区五夸克候选态的实验搜寻及自旋-宇称指定的指导。
英文摘要：
We investigate the mass spectra of the \(ncnc\bar{c}\), \(nnnn\bar{c}\), and \(nnnc\bar{c}\) pentaquark systems, where \(n\) denotes a light \(u\) or \(d\) quark, within a leading-order linear Regge approximation. The extension of the baryon intercept and inverse-slope additivity relations to these systems is implemented as a minimal cluster-additive ansatz for compact color-antitriplet diquarks, rather than assumed to be an exact QCD relation. By analyzing the corresponding trajectories in the \((J,M^2)\) plane, we first determine the allowed mass range of the ground-state \(ncnc\bar{c}\) pentaquark and extract the associated Regge parameters. Using these inputs, we estimate the mass intervals of the excited states of the \(ncnc\bar{c}\), \(nnnn\bar{c}\), and \(nnnc\bar{c}\) systems. We also obtain analytical mass-inequality relations. The resulting spectra exhibit a systematic ordering with increasing total spin and orbital excitation along the Regge trajectories. We further compare the predicted states with selected kinematically compatible meson--baryon thresholds as a qualitative guide to possible nearby channels. Our results provide a useful reference for future theoretical studies and may serve as a guide for experimental searches and spin-parity assignments of pentaquark candidates in the open- and hidden-charm sectors.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
