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arXiv 2011.05454hep-phhep-th
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Semileptonic Decay of $B_c$ to $η_c$ and $J/ψ$ on the Light Front

Shuo Tang, Shaoyang Jia, Pieter Maris, James P. Vary

英文摘要:

We study the semileptonic decay of the $B_c (0^-)$ to charmonia through the bottom-to-charm-quark electroweak current in the framework of basis light-front quantization. Explicitly, we calculate the weak transition form factors for processes of $B_c$ decaying into $η_c$ or $J/ψ$ based on the corresponding initial and final valence light-front wave functions both obtained from the basis light-front quantization. We also present the corresponding differential decay width and branching ratios, as well as the branching ratios for decays into the $η_c'$ and the $ψ'$. We observe unphysical frame dependence of the calculated form factors, which is attributed to only including the valence light-front wave functions. Based on the analysis of current component, we propose a preferred set of frames to calculate these form factors.

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