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arXiv 1203.4541hep-ph
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纠缠对称性解释了没有QCD动力学CP破坏在中性B到Kpi衰变中;而不是在带电B衰变中带电和中性衰变中的意外同位旋关系,

Entangled symmetries explain without QCD dynamics CP violation in neutral B to Kpi decays; not in charged B decays Unexpected isospin relations in charged and neutral decays,

Harry J. Lipkin

摘要:

没有QCD动力学的简单味对称性论证表明了为什么在中性PDMATHAMM到$Kπ$衰变中观察到的CP破坏在树图终态有两个满足泡利原理的$u$夸克的带电B衰变中不存在。纠缠在分裂成两个介子后保持了短程对称性关联。泡利原理和对称性要求完全味对称的树图终态。I=2的$ππ$同位旋态已经是味对称的,不受对称性约束。V自旋V=2的奇异味对称态是$Kπ$和$K η$的线性组合,对于$Kπ$,概率仅为(1/4)。树图抑制因子4不存在于中性衰变解释了可忽略的树企鹅干扰和CP破坏收费衰变。详细的全对称性分析表明,从空间反演,电荷共轭,泡利反对称和味道对称的限制。树图在同一空间点产生的两个反夸克具有偶宇称。偶宇称末态要求两个$u$夸克具有偶宇称、偶空间对称性和色旋反对称性。色-单重自旋-单重末态需要色-自旋反对称性,因此需要双反夸克波函数的味对称性。味对称的$\bar u \bar d$和$\bar u \bar s$反夸克对具有同位旋I=1和V自旋V =1。广义电荷共轭不变性要求$ππ$树形图I=2,$Kπ$树形图V = 2。Penguin衰变给出I = 1/2的最终状态,并且没有CP破坏。实验证实了令人惊讶的预测,从树抑制因子没有注意到在以前的分析。I=1/2违反只在带电和中性衰变之间的关系中看到,在每个单独的衰变中没有I=3/2的成分。使用$ππ$数据的常见处理无法拟合$Kπ$数据。

英文摘要:

Simple flavor symmetry argument without QCD dynamics shows why CP violation observed in neutral $B$ to $Kπ$ decays is absent in charged B decays where tree diagram final state has two $u$ quarks satisfying Pauli principle. Entanglement preserves short range symmetry correlations after separation into two mesons. Pauli principle and symmetries require totally flavor-symmetric tree diagram final state. $ππ$ isospin state with I=2 already is flavor symmetric and suffers no symmetry constraint. Strange flavor-symmetric state with V spin V=2 is linear combination of $Kπ$ and $K η$ with probability only (1/4) for $Kπ$. Tree diagram suppression by factor 4 not present in neutral decays explains negligible tree-penguin interference and CP violation in charged decays. Detailed full symmetry analysis shows constraints from space-inversion, charge conjugation, Pauli antisymmetrization and flavor symmetry. Two antiquarks produced at same space point by tree diagram have even parity. Even parity final state requires even parity, even space symmetry and color-spin antisymmetry for two $u$ quarks. Color-singlet spin-singlet final state requires color-spin antisymmetry and therefore flavor symmetry for two-antiquark wave function. Flavor symmetric $\bar u \bar d$ and $\bar u \bar s$ antiquark pairs have isospin I=1 and V-spin V =1. Generalized charge conjugation invariance requires I=2 for $ππ$ tree diagram and V = 2 for $Kπ$. Penguin decays give I = 1/2 final state and no CP violation. Experiments confirm surprising predictions from tree suppression factor not noted in previous analyzes. I=1/2 violations seen only in relation between charged and neutral decays together with no I=3/2 components in each individual decay. Common treatments using $ππ$ data fail to fit $Kπ$ data.

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