Λ c → Λ ∗ (1520) form factors from lattice QCD and improved analysis of the Λ b → Λ ∗ (1520) and Λ b → Λ ∗ c (2595 , 2625) form factors

Λ c → Λ ∗ (1520) form factors from lattice QCD and improved analysis of the Λ b → Λ ∗ (1520) and Λ b → Λ ∗ c (2595 , 2625) form factors
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来自晶格 QCD 的 Λ c → Λ * (1520) 形状因子以及对 Λ b → Λ * (1520) 和 Λ b → Λ * c (2595 , 2625) 形状因子的改进分析

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通讯作者:
Theodore J. Christ
Theodore J. Christ
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作者:
Peter M. Nelson;G. Hall;Theodore J. Christ

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我们提出了控制粲重子半光子衰变的形式因子Λ c→Λ∗(1520)(cid:96) + ν (cid:96)的第一个晶格- qcd计算。正如我们之前计算Λ b→Λ∗(1520)形式因子时一样,我们在Λ∗(1520)静止坐标系中工作,但这里我们使用四个不同的重子动量而不是两个。由于Λ c的质量较低,这里使用的中等大小的动量足以确定半光子衰变的完整运动学范围内的形状因子。我们还更新了对Λ b→Λ∗(1520)和Λ b→Λ∗c(2595,2625)形式因子的晶格结果的分析,通过在旋转对称的零后坐下施加不同形式因子之间的精确关系。施加这些关系确保了在端点附近角观测的正确行为。
We present the first lattice-QCD calculation of the form factors governing the charm-baryon semileptonic decays Λ c → Λ ∗ (1520) (cid:96) + ν (cid:96) . As in our previous calculation of the Λ b → Λ ∗ (1520) form factors, we work in the Λ ∗ (1520) rest frame, but here we use four different heavy-baryon momenta instead of just two. Because of the lower mass of the Λ c , the moderately-sized momenta used here are sufficient to determine the form factors in the full kinematic range of the semileptonic decay. We also update the analysis of our lattice results for the Λ b → Λ ∗ (1520) and Λ b → Λ ∗ c (2595 , 2625) form factors by imposing exact relations among the different form factors at zero recoil that follow from rotational symmetry. Imposing these relations ensures the correct behavior of the angular observables near the endpoint.