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arXiv 2009.12010hep-thnucl-th
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有质量矢量介子的自旋-涡度耦合

Spin-Vorticity Coupling for Massive Vector Mesons

Joseph I. Kapusta, Ermal Rrapaj, Serge Rudaz

摘要:

最近在相对论重离子对撞机(RHIC)和大型强子对撞机(LHC)上的实验表明,在非中心重离子碰撞中产生的含有奇异夸克的强子是可以极化的。我们详细研究了电中性的,大量的矢量玻色子使用Proca方程的自旋和涡度的耦合,并通过一个单一的Foldy-Wouthuysen变换提供了非相对论减少的场方程。我们发现,由此产生的哈密顿量不是厄米,但${\cal PT}$不变,并涉及一个自旋依赖项$\textstyle{\frac{1}{2}} s_z \hbar ω$的领先阶涡。我们还计算了进一步的相对论和量子修正的哈密顿量。

英文摘要:

Recent experiments at Relativistic Heavy Ion Collider (RHIC) and Large Hadron Collider (LHC) have indicated that hadrons containing strange quarks produced in non-central heavy ion collisions can be polarized. We investigate in detail the coupling of spin and vorticity for electrically neutral, massive vector bosons using the Proca equation, and provide the nonrelativistic reduction of the field equations via a single Foldy--Wouthuysen transformation. We find that the resulting Hamiltonian is not-Hermitian, but ${\cal PT}$ invariant, and involves a spin dependent term $\textstyle{\frac{1}{2}} s_z \hbar ω$ to leading order in vorticity. We also calculate further relativistic and quantum corrections to the Hamiltonian.

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