arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1104.2118hep-ph
收藏

用QCD求和规则研究$0^{++}$介子在PDMATHAAB $\mathrm{GeV}$周围的混合

Study on the mixing among the $0^{++}$ mesons around $1\sim 2$ $\mathrm{GeV}$ with the QCD sum rules

Xu-Hao Yuan, Liang Tang, Mao-Zhi Yang, Xue-Qian Li

摘要:

在QCD求和规则下计算了$0^{++}$ $q\bar q$、$s\bar s$和胶球的关联函数,得到了非对角项由三个态之间的互相关决定的质量矩阵.对角化质量矩阵并将本征态确定为物理$0^{++}$标量介子,我们可以确定混合。具体地,我们计算了物理态$f_0(1370)$、$f_0(1500)$和$f_0(1710)$中$q\bar q$、$s\bar s$和胶球的分数,结果与唯象研究结果一致.

英文摘要:

We calculate the correlation functions of $0^{++}$ $q\bar q$, $s\bar s$ and glueball in the QCD sum rules and obtain the mass matrix where non-diagonal terms are determined by the cross correlations among the three states. Diagonalizing the mass matrix and identifying the eigenstates as the physical $0^{++}$ scalar mesons, we can determine the mixing. Concretely, our calculations determine the fractions of $q\bar q$, $s\bar s$ and glueball in the physical states $f_0(1370)$, $f_0(1500)$ and $f_0(1710)$, the results are consistent with that gained by the phenomenological research.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑