标题： 三重重四夸克$\bar{b}c\bar{q}c$和$\bar{c}b\bar{q}b$在组成夸克模型中 显示英文标题

标题： Triply heavy tetraquarks $\bar{b}c\bar{q}c$ and $\bar{c}b\bar{q}b$ in a constituent quark model

摘要： 对具有夸克组成的$S$-波三重重四夸克系统，$\bar{b}c\bar{q}c$和$\bar{c}b\bar{q}b$ $(q = u,\,d,\,s)$ ，自旋宇称量子数$J^P=0^+$，$1^+$，$2^+$和同位旋$I=0,\,\frac{1}{2}$的系统性研究是在组成夸克模型框架内进行的。 由求解薛定谔方程确定四体束缚态和共振态，采用高精度且高效的高斯展开方法（GEM）结合强大的复数缩放方法（CSM）。 此外，对$S$波四夸克系统进行了全面的耦合通道分析，考虑了介子-介子、二夸克-反二夸克和K型结构，以及所有允许的颜色结构。 在每个$I(J^P)$通道中都识别出几个窄共振态。 特别是，在质量范围$8.87-9.36$ GeV 内发现了$\bar{b}c\bar{q}c$系统的共振态，而$\bar{c}b\bar{q}b$系统的共振态则位于$12.13-12.45$ GeV 之间。 大多数预测的共振态是紧凑的四夸克态，其尺寸小于$1.0$ fm，尽管有四个状态表现出更扩展的结构，尺寸约为$1.3$ fm，表明它们具有更松散结合的性质。 这些奇特态的磁矩和主要波函数成分也进行了分析。 结果表明， K型构型在观察到的共振态结构中起主要作用。 最后，提出了这些态的可能强衰变通道（黄金模式）。 显示英文摘要

摘要： A systematic investigation of $S$-wave triply heavy tetraquark systems with quark content $\bar{b}c\bar{q}c$ and $\bar{c}b\bar{q}b$ $(q = u,\,d,\,s)$, spin-parity quantum numbers $J^P=0^+$, $1^+$, $2^+$ and isospin $I=0,\,\frac{1}{2}$, is carried out within the constituent quark model framework. The four-body bound and resonance states are determined by solving the Schr\"odinger equation employing the high-precision and efficient Gaussian Expansion Method (GEM) in conjunction with the powerful Complex Scaling Method (CSM). Besides, a comprehensive coupled-channel analysis of the $S$-wave tetraquark systems is performed, taking into account meson-meson, diquark-antidiquark and K-type configurations, as well as all allowed color structures. Several narrow resonant states are identified in each $I(J^P)$ channel. In particular, resonances for the $\bar{b}c\bar{q}c$ system are found in the mass range of $8.87-9.36$ GeV, while those for the $\bar{c}b\bar{q}b$ system lie between $12.13-12.45$ GeV. Most of the predicted resonances are compact tetraquark states with sizes smaller than $1.0$ fm, although four states exhibit more extended structures with sizes around $1.3$ fm, suggesting a more loosely bound nature. Magnetic moments and dominant wave function components of these exotic states are also analyzed. The results indicate that K-type configurations play a major role in the structure of the observed resonances. Finally, possible strong decay channels (golden modes) for these states are theoretically proposed.