AI 中文总结
研究基于Godfrey-Isgur相对论化夸克模型，通过Bethe-Salpeter方程计算四组五夸克候选态的质量与径向Regge轨迹，结果与实验吻合，为五夸克的分子结构及强子禁闭模式提供了相关依据。
AI 中文摘要
我们在Godfrey-Isgur相对论化夸克模型框架内，对五夸克质量与Regge轨迹开展了全面计算。将五夸克视为介子-重子分子系统，采用Bethe-Salpeter方程求解束缚态，该方程包含由GI（Godfrey-Isgur模型）导出的有效介子-重子相互作用，涵盖弥散、跑动耦合及自旋-自旋相互作用。利用粒子数据组（PDG）最新的已知Pc和Pcs态数据，我们计算了四个五夸克候选态的基态及前两个径向激发态，分别为Pc(4440)、Pc(4457)、Pcs(4338)和Pcs(4459)。计算得到的质量与实验结果吻合度极高。我们还在(n, M²)平面内构建了径向Regge轨迹，在计算得到的三个径向能级范围内，轨迹近似线性，其斜率与普通强子的报道斜率相当。这些结果与由禁闭驱动的共同模式一致，但未确立其普遍性。
英文摘要
We present a comprehensive calculation of pentaquark masses and Regge trajectories within the framework of the Godfrey-Isgur relativized quark model. The pentaquark is treated as a meson-baryon molecular system, and the bound state is solved using the Bethe-Salpeter equation with the effective meson-baryon interaction motivated by GI, including smearing, running coupling, and spin-spin interactions. Using the latest PDG data for the known Pc and Pcs states, we compute the ground state and first two radial excitations for four pentaquark candidates: Pc(4440), Pc(4457), Pcs(4338), and Pcs(4459). The calculated masses are in excellent agreement with experiment. We also construct radial Regge trajectories in the (n, M^2) plane. Within the three calculated radial levels, the trajectories are approximately linear, with slopes comparable to those reported for ordinary hadrons. These results are consistent with a common confinement-driven pattern, but do not establish its universality.
