arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2408.00503hep-phhep-exhep-latnucl-th
收藏

作为 $X(6900)$ 表亲的全奇异四夸克共振态

Fully strange tetraquark resonant states as the cousins of $X(6900)$

Yao Ma, Wei-Lin Wu, Lu Meng, Yan-Ke Chen, Shi-Lin Zhu

AI总结:

本文在组分夸克势模型中用高斯展开法和复标度法系统计算S波全奇异四夸克态,预言2.7–3.3 GeV存在紧致共振态,并指出2.7 GeV附近的2++态最可能被实验观测。

摘要:

我们对具有“正常”C宇称($J^{PC}=0^{++}, 1^{+-}, 2^{++}$)和“奇异”C宇称($J^{PC}=0^{+-}, 1^{++}, 2^{+-}$)的S波全奇异系统进行了系统计算,这些系统是全粲四夸克态 $X(6900)$ 的奇异类比。在组分夸克势模型中,我们采用高斯展开法求解四体薛定谔方程,并采用复标度法识别共振态。我们在2.7至3.3 GeV的质量范围内获得了一系列共振态和零宽度态,其宽度从小于1 MeV到约50 MeV不等。它们的均方根半径强烈表明它们是紧致四夸克态。在这些态中,$T_{4s,2^{++}}(2714)$ 可能是最有可能被实验观测到的态。我们敦促在 $ϕϕ$ 道中实验探索约2.7 GeV处的 $2^{++}$ $s s \ar{s} \ar{s}$ 态。由于最低的S波 $s s \ar{s} \ar{s}$ 态约为2.7 GeV,紧致的P波 $s s \ar{s} \ar{s}$ 态预计会更重。因此,$ϕ(2170)$ 和 $X(2370)$ 不太可能是紧致四夸克态。

英文摘要:

We conduct systematic calculations of the S-wave fully strange systems with ``normal" $\left(J^{P C}=0^{++}, 1^{+-}, 2^{++}\right)$ and ``exotic" $\left(J^{P C}=0^{+-}, 1^{++}, 2^{+-}\right)$ C-parities, which are the strange analogue of the fully charmed tetraquark state $X(6900)$. Within a constituent quark potential model, we employ the Gaussian expansion method to solve the four-body Schrödinger equation and the complex scaling method to identify resonant states. We obtain a series of resonant states and zero-width states in the mass range of 2.7 to 3.3 GeV, with their widths ranging from less than 1 MeV to about 50 MeV. Their rms radii strongly indicate that they are compact tetraquark states. Among these states, the $T_{4s,2^{++}}(2714)$ may be the most likely one to be observed experimentally. We urge the experimental exploration of the $2^{++}$ $s s \bar{s} \bar{s}$ state around 2.7 GeV in the $ϕϕ$ channel. Since the lowest S-wave $s s \bar{s} \bar{s}$ state is around 2.7 GeV, the compact P-wave $s s \bar{s} \bar{s}$ states are expected to be heavier. Hence, $ϕ(2170)$ and $X(2370)$ are unlikely to be compact tetraquark states.

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。

↑