自旋-2 $QQ\bar Q\bar s$ 四夸克态的QCD求和规则研究
Spin-2 $QQ\bar Q\bar s$ Tetraquarks in QCD Sum Rules
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中文总结 AI 辅助
本文利用QCD求和规则，通过对称轴矢量插值流并行研究自旋2的$cc\bar c\bar s$和$bb\bar b\bar s$四夸克态，得到质量分别为5.239和13.832 GeV，并给出误差范围。
中文摘要 AI 辅助
在两点QCD求和规则框架内，使用相同的对称轴矢量⊗轴矢量插值流，并行研究了$J^{P}=2^{+}$的$cc\bar c\bar s$和$bb\bar b\bar s$四夸克态。在给定的背景场截断下，保留至维度七的特定于流的OPE扇区通过共同的符号构造进行评估，其中底夸克道通过重味替换$c\to b$获得。两个道均施加相同的极点主导和OPE收敛准则。所采用的粲道区域为$\sqrt{s_0}=5.7\GeV$，$3.6\le M_B^2\le4.3\GeVsq$，而底道区域为$\sqrt{s_0}=14.3\GeV$，$9.8\le M_B^2\le10.8\GeVsq$。在代表性的Borel点上，提取的质量分别为$5.239\GeV$和$13.832\GeV$。在综合QCD输入、连续阈和Borel窗口的变化后，最终结果为$m_{cc\bar c\bar s,\\,2^+}=5.239\pm0.061\GeV$和$m_{bb\bar b\bar s,\\,2^+}=13.832\pm0.059\GeV$。
英文摘要
The $J^{P}=2^{+}$ $cc\bar c\bar s$ and $bb\bar b\bar s$ tetraquarks are studied in parallel within the two-point QCD Sum Rules framework using the same symmetric axial-vector$\otimes$axial-vector interpolating current. The current-specific OPE sectors retained through dimension seven within the stated background-field truncation are evaluated with a common symbolic construction, with the bottom channel obtained by the heavy-flavour replacement $c\to b$. The same pole-dominance and OPE-convergence criteria are imposed in both channels. The adopted charm region is $\sqrt{s_0}=5.7\GeV$ with $3.6\le M_B^2\le4.3\GeVsq$, whereas the bottom region is $\sqrt{s_0}=14.3\GeV$ with $9.8\le M_B^2\le10.8\GeVsq$. At representative Borel points, the extracted masses are $5.239\GeV$ and $13.832\GeV$, respectively. After the QCD-input, continuum-threshold, and Borel-window variations are combined, the final results are $m_{cc\bar c\bar s,\,2^+}=5.239\pm0.061\GeV$ and $m_{bb\bar b\bar s,\,2^+}=13.832\pm0.059\GeV$.
发表机构
- Yozgat Bozok University（约扎特博佐克大学）
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