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arXiv 2604.18366hep-phhep-ex
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双体粲反粲重子B衰变

Two-body charmed anti-charmed baryonic $B$ decays

Chun-Khiang Chua

AI总结:

利用拓扑振幅方法研究双体粲反粲重子B衰变率,通过SU(3)破缺效应建模并基于现有数据给出预测。

摘要:

我们利用拓扑振幅方法研究了双体粲反粲重子$\overline B o {f B}_c \overline {f B}_c$衰变的衰变率。所有$\overline B o {f B}_c(f {ar 3_f}) \overline {f B}_c(f { 3_f})$、${f B}_c(f 6_f) \overline {f B}_c(f { 3_f})$、${f B}_c(f {ar 3_f}) \overline {f B}_c(f {ar 6_f})$和${f B}_c(f 6_f) \overline {f B}_c(f {ar 6_f})$衰变的振幅都进行了拓扑分解。这些振幅上的SU(3)破缺效应,依赖于$s$夸克线的位置,被建模。利用现有数据作为输入,我们得到以下结果。(i) 在低能$\overline B o {f B}_c(f {ar 3_f}) \overline {f B}_c(f { 3_f})$衰变中,我们发现交换图是显著的。此外,内部$W$树图和交换$W$树图振幅之间存在大的抵消。SU(3)破缺是显著的,需要35%的SU(3)破缺效应,并且它们在不同振幅中作用不同。还研究了包含某些激发态${f B}_c(f {ar 3_f})$的$\overline B o {f B}_c(f {ar 3_f}) \overline {f B}_c(f { 3_f})$衰变的衰变率。(ii) 研究了$\overline B o {f B}_c(f 6_f) \overline {f B}_c(f { 3_f})$衰变,其中包含低能$\overline {f B}_c(f { 3_f})$以及低能和某些激发态${f B}_c(f 6_f)$重子,并对衰变率做出了一些预测。(iii) 研究了$\overline B o {f B}_c(f {ar 3_f}) \overline {f B}_c(f {ar 6_f})$衰变,其中包含低能粲反粲重子,并对衰变率做出了一些预测。(iv) 大多数预测衰变率的不确定性很大,反映了我们目前对相关SU(3)破缺效应的理解不足。测量这些衰变率可以提供关于这些效应的非常有用的信息。

英文摘要:

We study the rates of two-body charmed anti-charmed baryonic $\overline B\to {\bf B}_c \overline {\bf B}_c$ decays using the topological amplitude approach. All amplitudes of $\overline B\to {\bf B}_c(\bf {\bar 3_f}) \overline {\bf B}_c(\bf { 3_f})$, ${\bf B}_c(\bf 6_f) \overline {\bf B}_c(\bf { 3_f})$, ${\bf B}_c(\bf {\bar 3_f}) \overline {\bf B}_c(\bf {\bar 6_f})$ and ${\bf B}_c(\bf 6_f) \overline {\bf B}_c(\bf {\bar 6_f})$ decays are decomposed topologically. SU(3) breaking effects on these amplitudes, depending on the position of the $s$-quark line, are modeled. Using existing data as inputs, we obtained the following results. (i) In the low-lying $\overline B\to {\bf B}_c(\bf {\bar 3_f}) \overline {\bf B}_c(\bf { 3_f})$ decays, we find that the exchange diagram is sizable. Furthermore, there is a large cancellation between internal $W$-tree and exchange $W$-tree amplitudes. The SU(3) breaking is sizable, 35% SU(3) breaking effects are needed, and they work differently in different amplitudes. The rates of $\overline B\to {\bf B}_c(\bf {\bar 3_f}) \overline {\bf B}_c(\bf { 3_f})$ decays with some excited ${\bf B}_c(\bf {\bar 3_f})$ are also studied. (ii) The $\overline B\to {\bf B}_c(\bf 6_f) \overline {\bf B}_c(\bf { 3_f})$ decays, with low-lying $ \overline {\bf B}_c(\bf { 3_f})$ and low-lying and some excited ${\bf B}_c(\bf 6_f)$ baryons are studied with some predictions on rates obtained. (iii) The $\overline B\to {\bf B}_c(\bf {\bar 3_f}) \overline {\bf B}_c(\bf {\bar 6_f})$ decays with low-lying charmed anti-charmed baryons are studied with some predictions on rates obtained. (iv) Uncertainties in most predicted rates are large, reflecting our current poor understanding of the related SU(3) breaking effects. Measuring these rates can provide very useful information about these effects.

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