论文标题

弱辐射衰减$λ_{c}^{+} \toς^{+}γ$使用轻单和规则

Weak radiative decay $Λ_{c}^{+}\toΣ^{+}γ$ using light-cone sum rules

论文作者

Shi, Yu-Ji, Xing, Zhi-Peng, Meißner, Ulf-G.

论文摘要

我们使用轻锥总规则计算$λ_{c}^{+} \toς^{+}γ$的衰减宽度。对于最初的夸克辐射,建立了有效的哈密顿量,内部夸克线缩小到一个点。在完整的理论中研究了最终的夸克辐射。 $σ^+$的领先扭曲灯锥分布振幅可作为总规则计算的非扰动输入,并且扰动内核是按领先顺序计算的。我们获得的分支分数为$ {\ cal b}(λ_{c}^{+} \toς^{+}γ)= 1.03 \ pm 0.36 \ pm 0.36 \ times 10^{ - 4} $,低于最近的上限$ <2.6 \ 2.6 \ 2.6 \ 2.6 \ 2.6 \ 2.6 \ 2.6 \ 2.6 \ 2.6 \ times 10^{ - 4} $。

We calculate the decay width of the $Λ_{c}^{+}\toΣ^{+}γ$ using light-cone sum rules. For the initial quark radiation an effective Hamiltonian is constructed, where the internal quark line shrinks to a point. The final quark radiation is studied within the full theory. The leading twist light-cone distribution amplitudes of the $Σ^+$ serve as the non-perturbative input for the sum rules calculation, and the perturbative kernel is calculated at leading order. The branching fraction we obtain is ${\cal B}(Λ_{c}^{+}\toΣ^{+}γ)=1.03\pm 0.36 \times 10^{-4}$, which is below the recent upper limit $<2.6 \times 10^{-4}$ given by the Belle collaboration.

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