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arXiv 1309.7879hep-ph
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协变约束夸克模型级联衰变Lambda_b -> Lambda(-> p pi-)+ J/psi(-> l+ l-)中的极化效应

Polarization effects in the cascade decay Lambda_b -> Lambda(-> p pi-) + J/psi(-> l+ l-) in the covariant confined quark model

Thomas Gutsche, Mikhail A. Ivanov, Jurgen G. Korner, Valery E. Lyubovitskij, Pietro Santorelli

摘要:

在协变约束夸克模型中计算了非轻子衰变Lambda_b -> Lambda + J/psi,psi(2 S)的不变振幅和螺旋度振幅.讨论了级联衰变Lambda_b -> Lambda(-> p π-)+ J/psi,psi(2S)(-> l+ l-)中的联合角衰变分布,并计算了表征联合角衰变分布的一些非对称性参数。我们证实了天真的夸克模型的期望,到λ_λ =1/2螺旋态的子重子λ的过渡强烈抑制导致近最大的负极化的λ。出于同样的原因,由(p π-)和(l+ l-)跨越的两个衰变平面之间的方位角相关性小得可以忽略不计。我们提供了整个可访问的q2范围的形状因子结果。我们的结果是接近晶格的结果在最小的反冲和光锥求和规则的结果在最大的反冲。我们的分析的一个新特点是,我们在计算中包括轻子质量效应,这使得我们也可以描述级联衰变Lambda_b -> Lambda(-> p π-)+ psi(2S)(-> tau+ tau-)。

英文摘要:

We calculate the invariant and helicity amplitudes for the nonleptonic decay Lambda_b -> Lambda + J/psi, psi(2S) in the covariant confined quark model. We discuss joint angular decay distributions in the cascade decay Lambda_b -> Lambda(-> p pi-) + J/psi, psi(2S) (-> l+ l-) and calculate some of the asymmetry parameters that characterize the joint angular decay distribution. We confirm expectations from the naive quark model that the transitions into the lambda_Lambda=1/2 helicity states of the daughter baryon Lambda are strongly suppressed leading to a near maximal negative polarization of the Lambda. For the same reason the azimuthal correlation between the two decay planes spanned by (p pi-) and (l+ l-) is negligibly small. We provide form factor results for the whole accessible q2-range. Our results are close to lattice results at minimum recoil and light-cone sum rule results at maximum recoil. A new feature of our analysis is that we include lepton mass effects in the calculation which allows us to also describe the cascade decay Lambda_b -> Lambda(-> p pi-) + psi(2S)(-> tau+ tau-).

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