论文标题
在动量空间中具有狄拉克电势模型的底元光谱
Bottomonium spectrum with a Dirac potential model in the momentum space
论文作者
论文摘要
我们在动量空间中使用相对论的潜在模型研究了底部光谱。该模型基于具有动量依赖性筛选因子的完整一个Gluon交换相互作用，以说明由于虚拟对创建的效果，该效果似乎与衰减阈值接近。总体模型不利用非依赖性近似值。我们符合开放式魅力阈值以下的底部底元状态，并预测其余的频谱最高为$ \ $ \约11200 $ MEV和$ j^{pc} = 3^{ - } $。使用蒙特卡洛（Monte carlo）对模型的参数进行严格处理并全面处理不确定性，以确定是否可以将与实验数据的哪些偏差吸收到模型的统计不确定性中，哪些偏差可以与$ b \ bar {b} $以外的物理学有关，并指导未来的研究。我们可以很好地描述频谱，特别是$η_b（2s）$状态和$υ（10860）$和$χ_b（3p）$ resonances的Belle测量。
We study the bottomonium spectrum using a relativistic potential model in the momentum space. This model is based on a complete one gluon exchange interaction with a momentum dependent screening factor to account for the effects due to virtual pair creation that appear close to the decay thresholds. The overall model does not make use of nonrelativistic approximations. We fit well established bottomonium states below the open charm threshold and predict the rest of the spectrum up to $\approx 11200$ MeV and $J^{PC}=3^{--}$. Uncertainties are treated rigorously and propagated in full to the parameters of the model using a Monte Carlo to identify if which deviations from experimental data can be absorbed into the statistical uncertainties of the models and which can be related to physics beyond the $b\bar{b}$ picture, guiding future research. We get a good description of the spectrum, in particular the Belle measurement of the $η_b(2S)$ state and the $Υ(10860)$ and $χ_b(3P)$ resonances.
