玻恩-奥本海默有效场论（BOEFT）中开味阈值以上的类夸克偶素态
Quarkoniumlike states above open-flavor thresholds in Born-Oppenheimer EFT
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中文总结 AI 辅助
本研究利用玻恩-奥本海默有效场论，结合多种数值方法，揭示了开味阈值以上类夸克偶素态的多重态组织与组分特征，为多数候选态提供了归属并指出了待探索的新物理方向。
中文摘要 AI 辅助
在开味阈值以上已观测到许多类夸克偶素态，但它们的结构和内部组织仍未明确。我们采用玻恩-奥本海默有效场论（BOEFT），研究自旋-同位旋平均的S+S与S+P阈值之间的同位旋标量隐粲 sector 和隐底 sector。领头阶下，重夸克自旋退耦，夸克偶素静态势通过弦断裂与相同量子数的最低四夸克/开味玻恩-奥本海默（BO）势混合，这些势受QCD对称性、短程与长程行为以及格点QCD数据约束。唯一校准参数为最低1⁻⁻伴随介子质量，由与χ_c1(3872)相关的浅多重态确定。我们利用T矩阵、K矩阵和复标度方法确定束缚态与共振极点，包括其质量、来自非奇异S+S道的极点宽度、归一化极点耦合，以及依赖于方案的夸克偶素-开味组分度量；同时包含未耦合的混杂BOEFT多重态作为参考能级。该能谱呈现共同的重夸克自旋对称多重态组织，多数极点为主要定域在短程的夸克偶素共振，越靠近阈值的极点开味组分越大；相同方程还会产生浅的、空间延展的、以开味为主的分子型长程特征态，其结合能、半径和夸克偶素小组分对伴随介子质量高度敏感，而高能谱则更稳定。结合混杂参考能级，该能谱为大多数候选态提供了多重态归属，无法自然容纳的态则表明需要隐奇异、S+P四夸克/开味BO sector，以及混杂-四夸克和混杂-夸克偶素混合。
英文摘要
Many quarkoniumlike states have been observed above open-flavor thresholds, but their organization and internal structure remain unsettled. We study the isoscalar hidden-charm and hidden-bottom sectors in Born--Oppenheimer effective field theory (BOEFT), between the spin--isospin averaged $S+S$ and $S+P$ thresholds. At leading order, heavy-quark spin decouples, and the quarkonium static potential mixes through string breaking with the lowest tetraquark/open-flavor BO potentials of the same quantum numbers. These potentials are constrained by QCD symmetries, their short- and long-distance behavior, and lattice-QCD data. The only calibrated parameter is the lowest $1^{--}$ adjoint meson mass, fixed from the shallow multiplet associated with the $χ_{c1}(3872)$. Using $T$-matrix, $K$-matrix, and complex-scaling methods, we determine bound states and resonance poles, their masses, pole widths from the included nonstrange $S+S$ channels, normalized pole couplings, and prescription-dependent quarkonium--open-flavor composition measures. Uncoupled hybrid BOEFT multiplets are included as reference levels. The spectrum exhibits a common heavy-quark-spin-symmetry multiplet organization. Most poles are predominantly quarkonium resonances localized at short distances, with the largest open-flavor components closest to threshold. The same equations also generate shallow, spatially extended, open-flavor-dominated states with molecular long-distance characteristics. Their binding energies, radii, and small quarkonium components are highly sensitive to the adjoint meson mass, whereas the higher spectrum is more stable. Together with the hybrid reference levels, the spectrum provides multiplet assignments for most candidates. States not naturally accommodated point to the need for hidden-strange and $S+P$ tetraquark/open-flavor BO sectors and for hybrid--tetraquark and hybrid--quarkonium mixings.
