论文标题
旋转框架中的Spin-1 Quarkonia及其自旋内容物
Spin-1 quarkonia in a rotating frame and their spin contents
论文作者
论文摘要
我们提出了一种新的方法来研究强子在旋转框架中查看其响应的旋转含量。通过在旋转框架中收集夸克和胶子的所有响应，我们描述了旋转旋转耦合的旋转耦合，从而在相对论形式主义中揭示了它们的旋转含量。我们证明，操作员产品扩展中的扰动和非扰动贡献都遵循通用公式，该公式可以识别自旋旋转耦合与单位强度。这使我们能够根据夸克和胶子的总角动量认识到载体和轴向矢量夸克的总自旋1。具体来说，我们发现$ j/ψ$，$χ_{C1} $，$υ（1s）$的旋转内容和$χ_{B1} $与Naive Quark模型图片略有不同。例如，$ j/ψ$传统上被视为S波粒子，但我们发现夸克并没有带有所有总旋转。
We propose a new way of studying the spin content of a hadron by looking at its response in a rotating frame. By collecting all responses of quarks and gluons in a rotating frame, we describe the spin-rotation coupling of spin-1 quarkonia and thereby reveal their spin contents in a relativistic formalism. We demonstrate that both the perturbative and non-perturbative contributions in the operator product expansion follow a universal formula that identifies the spin-rotation coupling with unit strength. This allows us to recognize the total spin-1 of the vector and axial vector quarkonia in terms of the total angular momentum of quarks and gluons. Specifically, we find the spin contents of $J/ψ$, $χ_{c1}$, $Υ(1S)$, and $χ_{b1}$ are slightly different from the naive quark model picture. For example, the $J/ψ$ is traditionally considered as an S-wave particle, but we find quarks do not carry all of the total spin.
