格点上的全粲四夸克态：具有受控误差的研究
Fully charmed tetraquarks on the Lattice with controlled errors
浏览论文内容
中文总结 AI 辅助
本文提出格点夸克势模型（LQPM），通过精确对角化消除变分偏差，计算全粲四夸克态，发现深束缚的J^P=0^+基态，为多夸克谱学提供受控方法。
中文摘要 AI 辅助
我们引入了格点夸克势模型（LQPM），该模型在周期性立方格点上对非相对论夸克势模型进行离散化，并精确对角化所得的多体哈密顿量。与仅提供能量上界的变分方法不同，LQPM消除了这种变分偏差，其剩余的有限体积不确定性通过外推法予以消除。该方法直接在坐标空间中表述，对势的具体形式不敏感，并能容纳任意相互作用，例如包括三体力、自旋-轨道耦合和张量耦合，这些在传统少体方法中难以处理。作为基准，粲偶素和Ω_ccc的能谱在实验值的几个MeV范围内被重现。对于全粲四夸克态cc\ar{c}\ar{c}，我们得到J^P=0^+的基态能量为5934.8(13) MeV，比η_cη_c阈值低33.2(13) MeV，明确识别为一个深束缚四夸克态，其存在对势的选择具有鲁棒性。这样的态可以通过J/ψ e^+e^-衰变为两个双轻子对2(e^+e^-)，其显著性类似于X(6400)，或约小一个数量级。由于低于最弱的强衰变道，它只能通过电磁和弱相互作用衰变。我们的结果确立了精确格点对角化作为一种受控、可系统改进且广泛适用的多夸克谱学方法，为强相互作用提供了定量基准，并为未来寻找奇异强子的实验提供了宝贵指导。
英文摘要
We introduce the lattice quark potential model (LQPM), which discretizes the nonrelativistic quark potential model on a periodic cubic lattice and diagonalizes the resulting many-body Hamiltonian exactly. Unlike variational approaches, which provide only upper bounds on the energy, LQPM removes this variational bias, and its remaining finite-volume uncertainty is removed by extrapolation. Formulated directly in coordinate space, the method is indifferent to the specific form of the potential and accommodates arbitrary interactions, such as including three-body forces and spin-orbit and tensor couplings, that are difficult to treat in conventional few-body approaches. As a benchmark, the charmonium and $Ω_{ccc}$ spectra are reproduced within a few MeV of experiment. For the fully charmed tetraquark $cc\bar{c}\bar{c}$, we obtain a $J^P=0^+$ ground state at $5934.8(13)~\mathrm{MeV}$, $33.2(13)~\mathrm{MeV}$ below the $η_cη_c$ threshold, unambiguously identified as a deeply bound tetraquark whose existence is robust against the choice of potential. Such a state can decay into two dileption pairs $2(e^+e^-)$ via $J/ψe^+e^-$, with significance similar to $X(6400)$, or about one order of magnitude smaller. Lying below the lowest strong-decay channel, it can decay only through electromagnetic and weak interactions. Our results establish exact lattice diagonalization as a controlled, systematically improvable, and broadly applicable route to multiquark spectroscopy, providing a quantitative benchmark for the strong interaction and valuable guidance for future experimental searches for exotic hadrons.
发表机构
- Institute of High Energy Physics, Chinese Academy of Sciences（中国科学院高能物理研究所）
- China Center of Advanced Science and Technology（中国高等科学技术中心）
- Graduate School of China Academy of Engineering Physics（中国工程物理研究院研究生院）
- State Key Laboratory of Nuclear Physics and Technology, Institute of Quantum Matter, South China Normal University（华南大学量子物质研究所核物理与技术国家重点实验室）
- Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, Guangdong Provincial Key Laboratory of Nuclear Science（广东省基础科学研究物质结构与基本相互作用卓越中心、广东省核科学重点实验室）
- Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences（中国科学院现代物理研究所南方核科学理论中心）
- University of Chinese Academy of Sciences（中国科学院大学）
机构由 AI 辅助整理，请以论文原文为准。
