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arXiv 2401.14899hep-phhep-exhep-latnucl-th
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全重紧凑型和分子型四夸克态的基准计算

Benchmark calculations of fully heavy compact and molecular tetraquark states

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

备注：
16 pages, 6 figures, 10 tables. Version accepted by PRD
发表信息：
Phys. Rev. D 109, 054034 (2024)
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AI总结：

使用三种夸克势模型计算S波全重四夸克态质量谱，结合分子型与紧凑型空间关联，发现多个共振态及奇特C宇称零宽度态，部分共振态为实验观测粒子的良好候选者。

摘要：

我们使用三种不同的夸克势模型（AL1、AP1、BGS），计算了S波全重四夸克系统$ QQ\bar Q\bar Q~(Q=c,b) $的质量谱，包含正常$ (J^{PC}=0^{++},1^{+-},2^{++}) $和奇特$ (J^{PC}=0^{+-},1^{++},2^{+-}) $ C宇称态。奇特C宇称系统是指不能由两个S波基态重夸克偶素组成的系统。我们同时引入了分子型双介子和紧凑型双夸克-反双夸克空间关联，从而辨别这些态的实际构型。我们采用高斯展开法求解四体薛定谔方程，并使用复标度法识别共振态。三种不同模型的质量谱在定性上彼此一致。我们在$(6.92,7.30)\\,\mathrm{GeV}$质量区域获得了几个具有$ J^{PC} = 0^{++}, 1^{+-}, 2^{++}, 1^{++} $的共振态，其中一些是实验观测到的$X(6900)$和$X(7200)$的良好候选者。我们还获得了几个具有$ J^{PC}=0^{+-} $和$ 2^{+-} $的奇特C宇称零宽度态。这些零宽度态没有对应的S波双夸克偶素阈值，只能强衰变到包含P波重夸克偶素的末态。采用$T_{4Q,J(C)}(M)$记号，我们根据均方根半径推断，$ X(7200) $候选者$ T_{4c,0(+)}(7173), T_{4c,2(+)}(7214) $以及态$ T_{4c,1(-)}(7191) $表现为分子态，尽管大多数共振态和零宽度态是紧凑态。

英文摘要：

We calculate the mass spectrum of the S-wave fully heavy tetraquark systems $ QQ\bar Q\bar Q~(Q=c,b) $ with both normal $ (J^{PC}=0^{++},1^{+-},2^{++}) $ and exotic $ (J^{PC}=0^{+-},1^{++},2^{+-}) $ C-parities using three different quark potential models (AL1, AP1, BGS). The exotic C-parity systems refer to the ones that cannot be composed of two S-wave ground heavy quarkonia. We incorporate the molecular dimeson and compact diquark-antidiquark spatial correlations simultaneously, thereby discerning the actual configurations of the states. We employ the Gaussian expansion method to solve the four-body Schrödinger equation, and the complex scaling method to identify the resonant states. The mass spectra in three different models qualitatively agree with each other. We obtain several resonant states with $ J^{PC} = 0^{++}, 1^{+-}, 2^{++}, 1^{++} $ in the mass region $(6.92,7.30)\, \mathrm{GeV}$, some of which are good candidates of the experimentally observed $X(6900)$ and $X(7200)$. We also obtain several exotic C-parity zero-width states with $ J^{PC}=0^{+-} $ and $ 2^{+-} $. These zero-width states have no corresponding S-wave diquarkonium threshold and can only decay strongly to final states with P-wave quarkonia. With the notation $T_{4Q,J(C)}(M)$, we deduce from the root mean square radii that the $ X(7200) $ candidates $ T_{4c,0(+)}(7173), T_{4c,2(+)}(7214) $ and the state $ T_{4c,1(-)}(7191) $ look like molecular states although most of the resonant and zero-width states are compact states.

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