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Bargmann不变量与中性介子系统中的相关几何CP破坏结构

Bargmann Invariants and Correlated Geometric CP-Violating Structures in Neutral Meson Systems

Indian Institute of Technology Kharagpur(印度理工学院卡拉格普尔分校)

Swarup Sangiri

AI总结:

本文通过构造Bargmann不变量,从几何相位角度描述了中性介子系统中的CP破坏效应,并引入了一个不能分解为独立衰变道贡献的不变比,增强了对小CP破坏的敏感性。

摘要:

Bargmann不变量提供了量子态之间相位关系的重相位不变描述,并为干涉现象提供了几何视角。在这项工作中,我们通过构造涉及重和轻质量本征态以及来自相关介子衰变的衰变投影态的循环积,研究了它们在中性介子系统中的作用。得到了三阶和四阶不变量的显式表达式,用混合参数和衰变振幅表示。分析表明,相关的几何相位编码了介子-反介子混合与衰变振幅之间的CP敏感干涉效应,并在CP守恒极限下变为平凡。用CKM矩阵元表示衰变振幅揭示了四次组合,其重相位不变的弱相位结构与Jarlskog不变量类似。我们进一步引入了一个由三阶和四阶Bargmann不变量构造的重相位不变比,它隔离了通常不能分解为独立衰变道贡献的相关CP破坏结构,并可以增强对小CP对称性偏差的敏感性。这些不变量也可以与中性介子衰变中时间依赖CP不对称的参数相关联,从而为可观测的CP破坏干涉效应提供几何解释。

英文摘要:

Bargmann invariants provide a rephasing-invariant description of phase relations among quantum states and offer a geometric perspective on interference phenomena. In this work, we investigate their role in neutral meson systems by constructing cyclic products involving the heavy and light mass eigenstates together with decay-projected states arising from correlated meson decays. Explicit expressions for third-order and fourth-order invariants are obtained in terms of mixing parameters and decay amplitudes. The analysis shows that the associated geometric phases encode CP-sensitive interference effects between meson-antimeson mixing and decay amplitudes and become trivial in the CP-conserving limit. Expressing the decay amplitudes in terms of CKM matrix elements reveals quartic combinations with analogous rephasing-invariant weak-phase structure to that of the Jarlskog invariant. We further introduce a rephasing-invariant ratio constructed from third- and fourth-order Bargmann invariants, which isolates correlated CP-violating structures that cannot, in general, be factorized into independent decay-channel contributions and can enhance sensitivity to small deviations from CP symmetry. The invariants can also be related to parameters governing time-dependent CP asymmetries in neutral meson decays, thereby providing a geometric interpretation of observable CP-violating interference effects.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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