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arXiv 2404.18547hep-phhep-ex
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具有奇异量子数$J^{PC}=2^{+-}$的轻四夸克态

Light tetraquark states with exotic quantum numbers $J^{PC}=2^{+-}$

Qi-Nan Wang, Ding-Kun Lian, Wei Chen

AI总结:

本研究利用QCD求和规则,构造带三个洛伦兹指标的插值流,研究了$J^{PC}=2^{+-}$的三类轻四夸克态质量,给出具体数值并讨论强衰变道,为实验寻找提供方向。

摘要:

我们采用QCD sum rules(量子色动力学求和规则)方法,研究了具有奇异量子数$J^{PC}=2^{+-}$的$ud\bar{u}\bar{d}$、$us\bar{u}\bar{s}$和$ss\bar{s}\bar{s}$轻四夸克态的质量。研究发现,不存在带两个洛伦兹指标且能耦合到$2^{+-}$量子数的四夸克算符。为研究这类四夸克态,我们构造了带三个洛伦兹指标且不含导数算符的插值四夸克流。我们计算了包含直至10维凝聚的关联函数,并通过投影算符提取出$2^{+-}$不变函数。结果表明,$J^{PC}=2^{+-}$的$ud\bar{u}\bar{d}$、$us\bar{u}\bar{s}$和$ss\bar{s}\bar{s}$四夸克态的质量分别约为$3.3-3.5 ~\mathrm{GeV}$、$3.5-3.7 ~\mathrm{GeV}$和$3.67 ~\mathrm{GeV}$。我们进一步讨论了这些轻四夸克到双介子和重子-反重子末态的强衰变,并建议未来在$ρπ$、$ωπ$、$ϕπ$、$b_{1}π$、$h_{1}π$、$K\bar K^\ast$、$K\bar{K}_{1}$、$Δ\barΔ$、$Σ^{\ast} \bar{Σ}^{\ast}$、$Ξ^{\ast} \bar{Ξ}^{\ast}$、$Ω\bar{Ω}$道中寻找这类粒子。

英文摘要:

We study the masses of light tetraquark states $ud\bar{u}\bar{d}$ , $us\bar{u}\bar{s}$ and $ss\bar{s}\bar{s}$ with exotic quantum numbers $J^{PC}=2^{+-}$ using the method of QCD sum rules. It is found that there is no tetraquark operator with two Lorentz indices coupling to the $2^{+-}$ quantum numbers. To investigate such tetraquark states, we construct the interpolating tetraquark currents with three Lorentz indices and without derivative operator. We calculate the correlation functions up to dimension 10 condensates, and extract the $2^{+-}$ invariant functions via the projector operator. Our results show that the masses of the $ud\bar{u}\bar{d}$, $us\bar{u}\bar{s}$ and $ss\bar{s}\bar{s}$ tetraquark states with $J^{PC}=2^{+-}$ are about $3.3-3.5 ~\mathrm{GeV}$, $3.5-3.7 ~\mathrm{GeV}$ and $3.67 ~\mathrm{GeV}$, respectively. We further discuss the strong decays of these light tetraquarks into the two-meson and baryon-antibaryon final states, and suggest to search for them in the $ρπ, ωπ, ϕπ$, $b_{1}π$, $h_{1}π$, $K\bar K^\ast, K\bar{K}_{1}$, $Δ\barΔ$, $Σ^{\ast} \bar{Σ}^{\ast}$, $Ξ^{\ast} \bar{Ξ}^{\ast}$, $Ω\bar{Ω}$ channels in the future.

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。

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