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arXiv 0903.0455hep-ph
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B_c介子的半轻子和辐射衰变在光阵面夸克模型中的应用

Semileptonic and radiative decays of the B_c meson in light-front quark model

Ho-Meoyng Choi, Chueng-Ryong Ji

摘要:

本文利用受QCD激发的有效哈密顿量变分原理约束的光阵面夸克模型研究了半轻子$B_c\to (D,η_c,B,B_s)\ellν_\ell$,$η_b\to B_c\ellν_\ell$($\ell=e,μ,τ$)衰变.在$q^+=0$框架下,利用解析延拓方法得到了形状因子$f_+(q^2)$和$f_-(q^2)$.虽然形状因子$f_+(q^2)$没有零模式,但是形状因子$f_-(q^2)$在$q^+=0$帧中没有零模式。我们量化的零模的贡献$f_-(q^2)$的各种半轻子$B_c$衰变。利用我们的有效方法将非波函数顶点与光阵面价波函数联系起来,我们将零模贡献作为零模算符与初态和末态波函数的卷积来考虑。我们的结果进行比较,现有的实验数据和其他理论方法的结果。由于磁偶极$B^*_c\to B_c+γ$衰变的预测结果对$B^*_c$和$B_c$介子的质量差非常敏感,因此衰变宽度$Γ(B^*_c \to B_c γ)$可以帮助实验确定$B^*_c$的质量。此外,我们比较了谐振子势和线性势的结果,并确定了对限制势的选择敏感的衰变过程。从这些敏感过程的未来实验数据中,人们可能会获得更真实的重介子系统中夸克与反夸克之间的相互作用势的信息。

英文摘要:

We investigate the exclusive semileptonic $B_c\to (D,η_c,B,B_s)\ellν_\ell$, $η_b\to B_c\ellν_\ell$($\ell=e,μ,τ$) decays using the light-front quark model constrained by the variational principle for the QCD motivated effective Hamiltonian. The form factors $f_+(q^2)$ and $f_-(q^2)$ are obtained from the analytic continuation method in the $q^+=0$ frame. While the form factor $f_+(q^2)$ is free from the zero-mode, the form factor $f_-(q^2)$ is not free from the zero-mode in the $q^+=0$ frame. We quantify the zero-mode contributions to $f_-(q^2)$ for various semileptonic $B_c$ decays. Using our effective method to relate the non-wave function vertex to the light-front valence wave function, we incorporate the zero-mode contribution as a convolution of zero-mode operator with the initial and final state wave functions. Our results are then compared to the available experimental data and the results from other theoretical approaches. Since the prediction on the magnetic dipole $B^*_c\to B_c+γ$ decay turns out to be very sensitive to the mass difference between $B^*_c$ and $B_c$ mesons, the decay width $Γ(B^*_c \to B_c γ)$ may help in determining the mass of $B^*_c$ experimentally. Furthermore, we compare the results from the harmonic oscillator potential and the linear potential and identify the decay processes that are sensitive to the choice of confining potential. From the future experimental data on these sensitive processes, one may obtain more realistic information on the potential between quark and antiquark in the heavy meson system.

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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