全重味四夸克 $Q_1Q_2\bar{Q}_1\bar{Q}_2\\,(Q_{1;2} \in \left\{b;c\right\})$ 的系统研究：质量谱、阈值分析及与LHC数据的对比
Systematic study of fully heavy-flavored tetraquarks $Q_1Q_2\bar{Q}_1\bar{Q}_2\,(Q_{1;2} \in \left\{b;c\right\})$: Mass spectra, threshold analysis, and confrontation with LHC data
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中文总结 AI 辅助
本研究采用非相对论双夸克-反双夸克模型，计算全重味四夸克的质量谱，对比LHC观测数据，支持部分观测结构为全粲四夸克激发态的解释，为实验鉴别提供预测。
中文摘要 AI 辅助
大型强子对撞机（LHC）正在积极开展全重味四夸克态的实验搜寻，LHCb、CMS和ATLAS合作组已对全粲四夸克 $cc\bar{c}\bar{c}$、混合四夸克 $bc\bar{b}\bar{c}$ 及全底四夸克 $bb\bar{b}\bar{b}$ 进行了研究。其中，双 $J/\psi$ 质量谱中观测到的 $X(6200)$、$X(6900)$、$X(7300)$ 等窄结构引发了大量理论关注。本研究采用非相对论双夸克-反双夸克模型，对基态（$1S$）及激发态（$1P$、$2S$、$1D$、$2P$、$3S$、$4S$）全重味四夸克态的质量谱展开研究，将四夸克建模为轴矢量双夸克与反双夸克的色单态束缚态，对应 $\mathbf{\bar{3}}$ 和 $\mathbf{3}$ 色表示。通过改进的Cornell势和三点中心差分法数值求解薛定谔方程，非微扰处理自旋相关相互作用，研究了S波、P波、D波态的大范围 $J^{PC}$ 量子数，将预测质量与近期LHC观测结果及其他理论计算对比，检验了态抵抗强衰变的稳定性。研究结果支持将多个观测到的结构解释为全粲四夸克的不同激发态，并为其实验鉴别提供了有用预测。
英文摘要
Experimental searches for fully heavy tetraquark states are actively pursued at the LHC. The LHCb, CMS, and ATLAS collaborations have investigated fully charmed $cc\bar{c}\bar{c}$, mixed $bc\bar{b}\bar{c}$, and fully bottom $bb\bar{b}\bar{b}$ tetraquarks. In particular, narrow structures such as $X(6200)$, $X(6900)$, and $X(7300)$ observed in the di-$J/ψ$ mass spectrum have stimulated considerable theoretical interest. We employ a nonrelativistic diquark-antidiquark model to investigate the mass spectra of ground ($1S$) and excited ($1P$, $2S$, $1D$, $2P$, $3S$, and $4S$) fully heavy tetraquark states. The tetraquarks are modeled as color-singlet bound states of axial-vector diquarks and antidiquarks in the $\mathbf{\bar{3}}$ and $\mathbf{3}$ color representations. The Schrödinger equation is solved numerically using a modified Cornell potential and the three-point central difference method, while spin-dependent interactions are treated nonperturbatively. We investigate a broad range of $J^{PC}$ quantum numbers for $S$-, $P$-, and $D$-wave states. The predicted masses are compared with recent LHC observations and other theoretical calculations, and the stability of the states against strong fall-apart decays is examined. Our results support the interpretation of several observed structures as different excitations of fully charmed tetraquarks and provide useful predictions for their experimental identification.
