论文标题
'$ \ frac {1} {2} $ vs. $ \ frac {3} {2} $ puzzle'的建议'
A proposal to the '$\frac{1}{2}$ vs. $\frac{3}{2}$ puzzle'
论文作者
论文摘要
我们重新考虑$ b \ to d_1^{（\ prime）} l \barν_l$的半衰减衰减。先前的理论计算预测，与$ d_1（j_l = \ frac {3} {2}）$相比，与$ d'_1 $ b $ to $ b $ to $ b $ to $ b $ to $ b $ to $ b $的比率明显较小。这场冲突是所谓的`$ \ frac {1} {2} $ vs. $ \ frac {3} {2} $ puzzzle'。在这项工作中，我们提出了一个简单的方案来解决此问题，我们假设强的特征态$ d_1^{（\ prime）} $与弱相互作用的本征态不一致，因为没有实验结果表明弱的结果表明，强的相互作用必须共享相同的特征。在此暂定方案的框架内，Meson $ b $首先弱衰减到{弱eigenstates} $ d_ {α（β）} $，然后将后者作为$ d_1^{（\ prime）$检测到强质量产品$ d^*ππ$。我们预测存在两个新的粒子$ d_ {α（β）} $，$ j^p = 1^+$以前尚未确定。在描述实验数据时，新方案的良好性能可能会暗示$ b_ {q} $的弱衰减至$ 1^+$ heavy-light-light-light mesons。为了测试此处提出的计划，我们建议一个实验，以检测从$ b $弱衰减和强衰减产品中重建的$ d_1 $不变质谱的差异。
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.
