论文标题

重的重骨波函数,bakamjian-thomas形式的方法,以及$ {λ_b\toλ_c\ left({1 \ foce of 2}^\​​ pm \ pm \ right)\ elly \ ely \yelllineBlineNν} $过渡

Heavy baryon wave functions, Bakamjian-Thomas approach to form factors, and observables in ${Λ_b \to Λ_c\left({1 \over 2}^\pm \right) \ell \overlineν}$ transitions

论文作者

Bečirević, D., Yaouanc, A. Le, Morénas, V., Oliver, L.

论文摘要

通过计算衰减中可观察到的$λ_b\ \λ_c\ left({1 \ of 2}^\​​ pm \ right)\ ell \edlineNν$作为Lepton风味普遍性的测试,我们介绍了Quark模型中形式的计算。我们的方案结合了一个光谱模型,提供了内部波函数,而bakamjian-thomas相对论形式主义推断了运动和当前矩阵元素的波函数,在iSgur-wise(IW)函数的重夸克限制中。对于重子,我们使用标准光谱模型遇到困难,导致我们提出了一个简单的现象学模型:Q-Pointlike-Diquark模型,具有谐波振荡器力的非偏见主义者,具有合理的低覆盖频谱和良好的IW功能。我们从晶格数据中提取此斜率,并找到$ρ_λ^2 \ sim 2 $。当使用标准线性 +库仑电势模型时,我们都无法重现正确的$ρ_λ^2 $,包括三个夸克$ qqq $或在q-pointlike-diquark图片中。这些困难似乎源于$ρ_λ^2 $对光夸克子系统的结构的高灵敏度。固定了我们的临时模型的参数以产生正确的频谱和$ρ_λ^2 $,我们计算可观察到。 Bjorken Sum规则表明,非弹性IW函数很大,因此$λ_b\toλ_c\ left({1 \ over 2}^ - ,{3 \ over 2}^ - \ right)\ ell \ Ell \ elly \ edelline从lhcb进行研究。 $τ$ case中的某些可观察值对$ q^2 $的特定值呈零,这些值可能是标准模型的测试。

Motivated by the calculation of observables in the decays $Λ_b \to Λ_c\left({1 \over 2}^\pm \right) \ell \overlineν$, as tests of Lepton Flavor Universality, we present a calculation of form factors in the quark model. Our scheme combines a spectroscopic model, providing the internal wave functions, and the Bakamjian-Thomas relativistic formalism to deduce the wave functions in motion and current matrix elements, that amount in the heavy quark limit to the Isgur-Wise (IW) function. For baryons we meet difficulties using standard spectroscopic models, leading us to propose a simple phenomenological model : a Q-pointlike-diquark model, non-relativistic with harmonic oscillator forces, with a reasonable low-lying spectrum and good slope of the IW function. We extract this slope from Lattice data and find $ρ_Λ^2 \sim 2$. We are not able to reproduce the right $ρ_Λ^2$ when using standard linear + Coulomb potential models, both with three quarks $Qqq$ or in a Q-pointlike-diquark picture. These difficulties seem to derive from the high sensitivity of $ρ_Λ^2$ to the structure of the light quark subsystem. After fixing the parameters of our interim model to yield correct spectrum and $ρ_Λ^2$, we compute observables. Bjorken sum rule shows that the inelastic IW function is large, and therefore $Λ_b \to Λ_c \left({1 \over 2}^-, {3 \over 2}^- \right) \ell \overlineν$ could be studied at LHCb. Some observables in the $τ$ case present zeroes for specific values of $q^2$ that could be tests of the Standard Model.

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