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arXiv 1908.04677hep-phhep-ex
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光阵面夸克模型中$V'\to V''$跃迁的形状因子

Form factors of $V'\to V''$ transition within the light-front quark models

Qin Chang, Li-Ting Wang, Xiao-Nan Li

摘要:

本文计算了标准光阵面~(SLF)和协变光阵面~(CLF)夸克模型~(QM)中矢量到矢量($V'\to V'$)跃迁的矩阵元和形状因子,研究了显协变Bethe-Salpeter方法和LF方法之间两种对应下CLF QM的自洽性和洛伦兹协变性。分析了CLF量子力学中零模和价态对$V'\to V'$跃迁形状因子的贡献及其与SLF结果的关系,再次证实了前人工作中由矢量和轴矢量介子衰变常数和$V'\to V'$跃迁形状因子得到的主要结论.此外,我们还对$c\to (q,s)$($q=u,d$)诱导的$D^*\to (K^*\,,ρ)$,$D^*_s\to (ϕ\,,K^*)$,$J/Ψ\to (D^*_s\,,D^*)$,$B^*_c\to (B^*_s\,,B^*)$跃迁和$b\to (q,s,c)$诱导的$B^*\to (D^*\,,K^*\,,ρ)$,$B^*_s\to (D^*_s\,,ϕ\,,K^*)$,$B^*_c\to (J/Ψ\,,D^*_s\,,D^*)$,$Υ(1S)\to (B_c^*\,,B_s^*\,,B^*)$跃迁的形状因子进行了数值预测,这些结果可进一步应用于介子衰变的唯象研究.

英文摘要:

In this paper, we calculate the matrix element and form factors of vector-to-vector ($V'\to V'$) transition within the standard light-front~(SLF) and covariant light-front~(CLF) quark models~(QMs), and investigate the self-consistency and Lorentz covariance of the CLF QM within two types of correspondences between the manifest covariant Bethe-Salpeter approach and the LF approach. The zero-mode and valence contributions to the form factors of $V'\to V'$ transition in the CLF QM and their relation to the SLF results are analyzed, and the main conclusions obtained via the decay constants of vector and axial-vector mesons and form factors of $P\to V$ transition in the previous works are confirmed again. Furthermore, we present our numerical predictions for the form factors of $c\to (q,s)$ ($q=u,d$) induced $D^*\to (K^*\,,ρ)$, $D^*_s\to (ϕ\,,K^*)$, $J/Ψ\to (D^*_s\,,D^*)$, $B^*_c\to (B^*_s\,,B^*)$ transitions and $b\to (q,s,c)$ induced $B^*\to (D^*\,,K^*\,,ρ)$, $B^*_s\to (D^*_s\,,ϕ\,,K^*)$, $B^*_c\to (J/Ψ\,,D^*_s\,,D^*)$, $Υ(1S)\to (B_c^*\,,B_s^*\,,B^*)$ transitions, which can be applied further to the relevant phenomenological studies of meson decays.

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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