发表机构
School of Physics and Electronic Technology, Liaoning Normal University; Center for Theoretical and Experimental High Energy Physics, Liaoning Normal University（辽宁师范大学物理与电子科技学院; 辽宁师范大学理论与实验高能物理中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
利用瞬时Bethe-Salpeter框架和相对论性3P0衰变模型，研究ψ(4040)-ψ(4160)系统开粲衰变，发现道依赖重叠核函数作为动量空间节点滤波器，确立开粲衰变作为重夸克偶素动量空间波函数结构的探针。
AI 中文摘要
强子衰变道可以直接提供受限夸克系统动量空间结构的信息。我们利用瞬时 Bethe--Salpeter (BS) 框架结合相对论性 $^3P_0$ 衰变模型，在 $\psi(4040)$--$\psi(4160)$ 系统中研究了这一可能性。BS 解在 4051 和 4110 MeV 处分别给出邻近的裸 $3\\,^3S_1$ 和 $2\\,^3D_1$ 态，它们相对于物理矢量态的相反位移促使了有效两态能级排斥描述的提出。通过比较具有相同领先 $P$ 波阈值行为的匹配开粲道 $D\bar D$、$D\bar D^*+{\rm c.c.}$、$D_s\bar D_s$ 和 $D_s\bar D_s^*+{\rm c.c.}$，我们表明道依赖的重叠核函数充当动量空间节点滤波器。在 $M=4146$ MeV 处，非奇异扇区中 $PV/PP$ 宽度比为 0.253，而奇异扇区中为 1.63，反转了仅由相空间预期的顺序。动量分辨振幅揭示，不同道对同一 $2D$ 节点区域的不同侧赋予不同权重，导致不同的抵消模式和电荷分辨 $D\bar D^*$ 振幅零点的共同反冲条件 $P_f\simeq0.775$ GeV。这些结果确立了开粲衰变作为重夸克偶素动量空间波函数结构的探针。
英文摘要
Hadronic decay channels can provide direct information on the momentum-space structure of confined quark systems. We investigate this possibility in the $ψ(4040)$--$ψ(4160)$ system using an instantaneous Bethe--Salpeter (BS) framework combined with a relativistic $^3P_0$ decay model. The BS solutions yield nearby bare $3\,^3S_1$ and $2\,^3D_1$ states at 4051 and 4110 MeV, respectively, whose opposite displacements from the physical vector states motivate an effective two-state level-repulsion description. By comparing the matched open-charm channels $D\bar D$, $D\bar D^*+{\rm c.c.}$, $D_s\bar D_s$, and $D_s\bar D_s^*+{\rm c.c.}$ with the same leading $P$-wave threshold behavior, we show that channel-dependent overlap kernels act as momentum-space nodal filters. At $M=4146$ MeV, the $PV/PP$ width ratio is 0.253 in the nonstrange sector but 1.63 in the strange sector, reversing the ordering expected from phase space alone. The momentum-resolved amplitudes reveal that different channels weight opposite sides of the same $2D$ nodal region differently, leading to distinct cancellation patterns and a common recoil condition, $P_f\simeq0.775$ GeV, for charge-resolved $D\bar D^*$ amplitude zeros. These results establish open-charm decays as a probe of momentum-space wave-function structures in heavy quarkonium.
