$T_{cc}(3875)^+$及其伙伴态的磁矩与辐射跃迁
Magnetic Moments and Radiative Transitions of the $T_{cc}(3875)^+$ and its partner states
中文总结 AI 辅助
本研究基于色磁相互作用系统计算$T_{cc}(3875)^+$及其伙伴态的磁矩与辐射跃迁，区分四夸克紧凑/分子结构，为实验寻找奇特态提供参考。
中文摘要 AI 辅助
我们基于色磁相互作用（CMI）系统研究S波双重重四夸克态的磁矩（MM）和辐射衰变宽度，除质量谱和强衰变性质外，这是区分紧凑结构与分子结构的互补探针。利用CMI本征矢量，我们计算紧凑构型四夸克的磁矩和M1跃迁率：将观测到的$I(J^P)=0(1^+)$的$T_{cc}(3875)^+$视为紧凑四夸克态时，其磁矩为$0.45\text{\mu}_N$，而$0(1^+)$的$DD^*$分子磁矩约为$-0.07\\,\text{\mu}_N$；确定了与$T_{cc}(3875)^+$相关的5个辐射跃迁道，宽度范围为6.07 keV至306.37 keV。结果显示，$J^P=1^+$的$bc\bar{q}\bar{q}'$（$q/q'=u,d,s$）和$J^P=1^+$的$QQ\bar{n}\bar{s}$（$Q=b,c; n=u,d$）态的磁矩受双夸克自旋混合影响；通过分析不同四夸克态间的辐射跃迁，发现$QQ\bar{n}\bar{n}'$、$QQ\bar{s}\bar{s}$和$bc\bar{n}\bar{s$情形中的这类过程可用于揭示初态或末态的四夸克结构；我们还定义了表征$J^P=1^+$四夸克系统磁矩的磁耦合矩阵，可约束磁矩范围。本研究为未来粒子物理实验寻找奇特态提供了重要参考。
英文摘要
We systematically investigate the magnetic moments (MMs) and radiative decay widths of S-wave doubly heavy tetraquark states based on chromomagnetic interaction (CMI). They provide a complementary probe to distinguish compact from molecule structures in addition to the mass spectrum and strong decay properties. Using the CMI eigenvectors, we compute the MMs and M1 transition rates for the tetraquarks in the compact configuration. We predict the MM of the observed $T_{cc}(3875)^+$ with $I(J^P)=0(1^+)$ to be 0.45 $μ_N$ when treating it as a compact tetraquark state, whereas the MM of the $0(1^+)$ $DD^*$ molecule is about $-0.07\,μ_N$. Five radiative transition channels related to the $T_{cc}(3875)^+$ are identified with widths ranging from $6.07$ keV to $306.37$ keV. Our results show that the MMs of the $J^P=1^+$ $bc\bar{q}\bar{q}^\prime$ ($q/q^\prime=u,d,s$) and $J^P=1^+$ $QQ\bar{n}\bar{s}$ ($Q=b,c; n=u,d$) states are influenced by the diquark-spin mixing. Through the analyses of radiative transitions between different tetraquark states, we find that such processes in the $QQ\bar{n}\bar{n}^\prime$, $QQ\bar{s}\bar{s}$, and $bc\bar{n}\bar{s}$ cases may serve to reveal the tetraquark structures of the initial or final states. We also define the magnetic coupling matrices characterizing the MMs of the tetraquark system with $J^P=1^+$, with which the range of MM can be constrained. The present study provides a valuable reference point for the search of exotic states in future particle physics experiments.
