A Proposal to the '12 vs. 32 Puzzle'
A Proposal to the '12 vs. 32 Puzzle'
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DOI：
10.3390/sym15071457
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发表时间：
2020-04
期刊：
影响因子：
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通讯作者：
Qiang Li;Wei Feng;Guo-Li Wang
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文献类型：
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作者：
Qiang Li;Wei Feng;Guo-Li Wang
我们重新考虑了B→D1（′）l l的半轻子衰变.以前的理论计算结果表明，B到D1′（Jl=12）的半轻子衰变速率明显小于到D1（Jl=32）的半轻子衰变速率，这与目前的实验结果不一致.这种冲突被称为所谓的“12 vs. 32 puzzle”。在这项工作中，我们提出了一个简单的方案来解决这个问题，我们假设强本征态D1（′）与弱相互作用的本征态不重合，因为没有实验结果表明弱相互作用和强相互作用必须共享相同的本征态。在这个方案中，介子B先弱衰变到弱本征态Dα（β），然后由强衰变产物D π * 检测到D α（β）.我们预言存在两个新的粒子Dα（β），JP=1+，这两个粒子以前没有被发现.新方案在描述实验数据方面的良好性能可能暗示了Bq到1+重轻介子弱衰变中的新对称性。为了测试这里提出的方案，我们建议一个实验来检测D1的不变质谱的差异，该质谱是从B弱衰变和强衰变产物重建的。
We reconsider the semileptonic decays of B→D1(′)lν¯l. The previous theoretical calculations predict a significantly smaller rate for the semileptonic decay of B to D1′(Jl=12) compared with that to the D1(Jl=32), which is not consistent with the current experimental data. This conflict is known as the so-called ‘12 vs. 32 puzzle’. In this work, we propose a simple scheme to fix this problem, where we suppose the strong eigenstates D1(′) that do not coincide with the eigenstate of the weak interaction, since no experimental results show that 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 Dα(β) and then the latter are detected as the D1(′) by the strong decay products D*π. We predict that there exist two new particles Dα(β) with JP=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 Bq 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 D1 that is reconstructed from the B weak decay and from the strong decay products.