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arXiv 0806.3922hep-ph
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分支分数$τ^- \to ηπ^-ν_τ$、$a_0^-(980)$和非标准弱相互作用的估计

Estimate of the branching fraction $τ^- \to ηπ^-ν_τ$, the $a_0^-(980)$, and non-standard weak interactions

Shmuel Nussinov, Abner Soffer

摘要:

我们从几个角度考虑“第二类电流”衰变$τ^-\toπ^-ην_τ$。我们首先集中在标准弱相互作用和QCD由于同位旋破坏预期的衰变率。衰变贡献分为$P$波和$S$波部分。前者可以可靠地估计使用的$ρηπ$耦合推断的$η\to 3π$衰变的速率和达利兹图分布。稍大的$S$波的一部分,这是以前使用手征微扰理论计算,估计从一个简单的$\bar qq$模型。对$S$波部分的两种估计都依赖于$a_0(980)$标量粒子是$\bar qq$还是其他(4夸克)态。最后,我们讨论了真正新的,非$V-A$标量弱相互作用。$τ^-\toπ^-ην_τ$衰变提供了关于这个问题的信息,这很好地补充了精确的$β$衰变实验。%总之,我们讨论了支化分数${\cal B}(τ^-\toπ^-ην_τ)$的推定值的可能影响。在值较大的情况下,特别是$S$波部分,不仅检测到衰变的可能性更大、更可靠,而且其影响也将更加深远和有趣。

英文摘要:

We consider the ``second-class current'' decay $τ^-\toπ^-ην_τ$ from several points of view. We first focus on the decay rate as expected within standard weak interaction and QCD due to isospin violation. The decay contributions divide into $P$- and $S$-wave parts. The former can be reliably estimated using the $ρηπ$ coupling inferred from the rates and Dalitz-plot distributions of $η\to 3π$ decays. The somewhat larger $S$-wave part, which was previously computed using chiral perturbation theory, is estimated from a simple $\bar qq$ model. Both estimates of the $S$-wave part depend on whether the $a_0(980)$ scalar particle is a $\bar qq$ or some other (4-quark) state. Finally, we discuss genuinely new, non-$V-A$ scalar weak interactions. The $τ^-\toπ^-ην_τ$ decay provides information on this question, which nicely complements that from precision $β$ decay experiments. % In summary, we discuss the possible implications of putative values of the branching fraction ${\cal B}(τ^-\toπ^-ην_τ)$. In the case of larger values, in particular of the $S$-wave part, not only will detection of the decay be more likely and more reliable, its implications will be more far-reaching and interesting.

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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