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arXiv 2004.09925hep-ph
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关于“$\frac{1}{2}$ 与 $\frac{3}{2}$ 之谜”的一个提案

A proposal to the '$\frac{1}{2}$ vs. $\frac{3}{2}$ puzzle'

Qiang Li, Wei Feng, Guo-Li Wang

AI总结:

针对B介子半轻衰变中的“1/2与3/2之谜”,提出强弱作用本征态不重合的方案,预言两个新的1+重轻介子,并建议通过不变质量谱实验验证该方案。

摘要:

我们重新考察了 $B\to D_1^{(\prime)}l\bar ν_l$ 的半轻衰变。此前的理论计算预测,$B$ 衰变到 $D'_1(J_l=\frac{1}{2})$ 的半轻衰变率远低于衰变到 $D_1(J_l=\frac{3}{2})$ 的速率,这与当前的实验数据不一致。这一矛盾就是所谓的“$\frac{1}{2}$ 与 $\frac{3}{2}$ 之谜”。在本工作中,我们提出了一个简单的方案来解决这一问题,我们假设强作用本征态 $D_1^{(\backslash\backslash prime)}$ 与弱相互作用的本征态并不重合,因为没有实验结果表明弱相互作用与强相互作用必须拥有相同的本征态。在这一尝试性方案的框架下,$B$ 介子首先通过弱作用衰变到弱本征态 $D_{α(β)}$,随后后者通过强作用产物 $D^*π$ 被探测为 $D_1^{(\backslash\backslash prime)}$。我们预测存在两个此前未被识别的、$J^P=1^+$ 的新粒子 $D_{α(β)}$。这一新方案在描述实验数据方面的良好表现,可能暗示着 $B_q$ 衰变到 $1^+$ 重轻介子的弱衰变过程中存在新的对称性。为了检验这里提出的方案,我们建议开展实验,探测分别从 $B$ 弱衰变重建和从强衰变产物重建得到的 $D_1$ 的不变质量谱的差异。

英文摘要:

We reconsider the semileptonic decays of $B\to D_1^{(\prime)}l\bar ν_l$. The previous theoretical calculations predict a significantly smaller rate for the semileptonic decay of $B$ to $D'_1(J_l=\frac{1}{2})$ compared with that to the $D_1(J_l=\frac{3}{2})$, which is not consistent with the current experimental data. This conflict is the so-called `$\frac{1}{2}$ vs. $\frac{3}{2}$ puzzle'. In this work, we propose a simple scheme to fix this problem, where we suppose that the strong eigenstates $D_1^{(\prime)}$ do not coincide with the eigenstate of the weak interaction, since no experimental results show the weak and the strong interactions have to share the same eigenstates. Within the framework of this tentative scheme, meson $B$ first weakly decays to {the weak eigenstates} $D_{α(β)}$ and then the latter are detected as the $D_1^{(\prime)}$ by the strong products $D^*π$. We predict that there exist two new particles $D_{α(β)}$ with $J^P=1^+$ which were not previously identified. The good performance of the new scheme in describing the experimental data may hint at new symmetry in the weak decays of $B_{q}$ to $1^+$ heavy-light mesons. To test the scheme proposed here, we suggest an experiment to detect the difference in the invariant mass spectra of $D_1$ reconstructed from the $B$ weak decay and from the strong decay products.

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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