Charmonium is an attractive system for the application of lattice QCD methods. While the sub-threshold spectrum has been considered in some detail in previous works, it is only very recently that excited and higher-spin states and further properties such as radiative transitions and two-photon decays have come to be calculated. I report on this recent progress with reference to work done at Jefferson Lab.
We calculate the next-to-leading order (NLO) quantum chromodynamics (QCD) corrections to inclusive processes $W^+\to J/ψ(η_c)+c+\bar{s}+X$ and $W^+\to B_c(B_c^{*})+b+\bar{s}+X$ in the framework of nonrelativistic QCD (NRQCD) factorization formalism. Result indicates that the NLO corrections are significant, and the uncertainties in theoretical predictions with NLO corrections are greatly reduced. The charmonium and $B_c$ meson yielding rates at the Large Hadron Collider (LHC) are given.
Mass Predictions for Pseudoscalar $J^{PC}=0^{-+}$ Charmonium and Bottomonium Hybrids in QCD Sum-Rules
用QCD拉普拉斯求和规则计算了赝标量$(J^{PC}=0^{-+})$粲偶素和底偶素的质量。六维胶子凝聚的影响包括在我们的分析中，并导致稳定的求和规则分析，而这些国家的先前研究无法优化质量预测。赝标量粲偶素杂化体的质量预计约为3.8 GeV，相应的底偶素预测为10.6 GeV。计算完整的关联函数，而不仅仅是虚部，被证明是必要的准确制定的总和规则。粲混合质量的预测范围内的X Y Z共振进行了讨论。
We present a next-to-leading order (NLO) QCD corrections to $B_c\to η_c$ and $B_c\to J/ψ$ tensor form factors within nonrelativistic QCD (NRQCD) framework. The full analytical results for $B_c$ to S-wave charmonium tensor form factors are obtained. We also studied the asymptotic behaviours of tensor form factors in hierarchy heavy quark limit, i.e. $m_b\to\infty,~ m_c\to\infty, ~\mathrm{and }~m_c/m_b\to0$. A compact expression for tensor form factors are given analytically in the hierarchy heavy quark limit. The relation among different form factors is also analyzed especially at large momentu…
We extend our recent works on the two-pion $S$-wave resonance contributions to the kaon-pion ones in the $B$ meson hadronic charmonium decay modes based on the perturbative QCD approach. The $S$-wave $Kπ$ time-like form factor in its distribution amplitudes is described by the LASS parametrization, which consists of the $K^*_0(1430)$ resonant state together with an effective range nonresonant component. The predictions for the decays $B\rightarrow J/ψKπ$ in this work agree well with the experimental results from $BABAR$ and Belle Collaborations. We also discuss theoretical uncertainties, indic…
In this paper, we preformed a further research on the exclusive productions of double charmonium via $Z$-boson decay by using nonrelativistic QCD factorizations approach, where the single-photon fragmentation topologies of the QED diagrams, the interference terms between the QCD and full QED diagrams, the next-to-leading-order calculations of the interference terms are preformed. For the production of $J/ψ+J/ψ$ in $Z$-boson decay, the interference terms show a significantly phenomenological effect due to the addition of the newly calculated NLO QCD corrections. After adding together all contri…
QCD Sum-Rule Interpretation of X(3872) with $J^{PC}=1^{++}$ Mixtures of Hybrid Charmonium and $\bar D D^*$ Molecular Currents
QCD求和规则被用来确定X（3872）是否可以被描述为耦合到$J^{PC}=1^{++}$粲偶素杂化和$\bar D D^*$分子电流的混合态。在计算混合相关器的混合和分子电流，我们制定的总和规则的混合参数之间的纯分子和混合的情况下插值。随着混合参数从纯分子情况增加，预测的质量增加，直到它达到与X（3872）良好一致的最大值，并且由此产生的求和规则分析似乎比纯分子情况更稳健。
In this paper, we present a new analysis on the $P$-wave charmonium annihilation into two photons up to next-to-next-to-leading order (NNLO) QCD corrections by using the principle of maximum conformality (PMC). The conventional perturbative QCD prediction shows strong scale dependence and deviates largely from the BESIII measurements. After applying the PMC, we obtain a more precise scale-invariant pQCD prediction, which also agrees with the BESIII measurements within errors, i.e. $R={Γ_{γγ}(χ_{c2})} /{Γ_{γγ}(χ_{c0})}=0.246\pm0.013$, where the error is for $Δα_s(M_τ)=\pm0.016$. By further cons…
Using wavelet analysis to compare the QCD prediction and experimental data on $R_{e^+e^-}$ and to determine parameters of the charmonium states above the $D\bar D$ threshold
Charmonium properties at high temperatures from lattice QCD
Fakultät für Physik, Universität Bielefeld（比勒费尔德大学物理系）；Physics Department, Brookhaven National Laboratory（布鲁克海文国家实验室物理系）；Institut für Kernphysik, Technische Universität Darmstadt（达姆施塔特工业大学核物理研究所）；Werner-Heisenberg-Gymnasium Bad Dürkheim（巴特迪尔凯姆维尔纳·海森堡中学）
In this paper, we calculate the next-to-leading order (NLO) quantum chromodynamics (QCD) corrections to the exclusive processes $B_c^+\to χ_{cJ}(h_c)π^+$ in the framework of the nonrelativistic QCD (NRQCD) factorization formalism. The results show that NLO QCD corrections markedly enhance the branching ratios with $K$ factors of about 2.5. In combination with the study of $B_c^+\to J/ψπ^+$, we find that the NLO NRQCD prediction for the ratio of branching fractions $\frac{\mathcal{B}(B_c^+\to χ_{c0}π^+)}{\mathcal{B}(B_c^+\to J/ψπ^+)}$ is then compatible with the experimental measurement.
Gluonic excitation of non-exotic hybrid charmonium from lattice QCD
利用猝灭格点量子色动力学研究了具有非奇异量子数$J^{PC}=0^{-+}$、$1^{--}$和$1^{++}$的杂化粲偶素${\bar c} c g$的基态和第一激发态.它们在文献中被完全忽略，只是因为它们的基态与$η_c$，$J/ψ$和$χ_{c1}$简并，并且在实验中很难与这些常规的粲素介子区分开来。然而，我们在第一激发态中观察到了强的胶子径向激发，我们预测它们的质量分别为4.352（225）GeV、4.379（149）GeV和7.315（257）GeV，与相应的常规粲偶素的第一激发态完全不同。它们与最近发现的Y（4260）态的相关性和未来对其他态的实验研究也进行了讨论。
Semileptonic decays of $B_c$ meson to S-wave charmonium states in the perturbative QCD approach
受最近在LHCb探测器上测量的$B_c$分支分数与$J/ψπ^+$和$J/ψμ^+ν_μ$末态的比值的启发，我们用微扰QCD方法研究了$B_c$介子到S波基态和径向激发的2S和3S粲偶素态的半轻子衰变.在评估了跃迁$B_c\rightarrow P,V$的形状因子后，我们计算了所有这些半轻子衰变的分支比，其中$P$和$V$分别表示赝标量和矢量S波charmonia。利用$B_c$介子的光锥波函数降低了强子输入参数的理论不确定性。发现预测的分支比范围从$10^{-6}$到$10^{-2}$，并且可以通过未来的LHCb实验来测量。我们预测的分支分数比$\frac{\mathcal {BR}(B_c^+\rightarrow J/Ψπ^+)}{\mathcal {BR}(B_c^+\rightarrow J/Ψμ^+ν_μ)}$是在良好的协议与数据。对于$B_c\rightarrow V l ν_l$衰变，在不同的动量转移平方区域讨论了纵、横极化的相对贡献。这些预测将在正在进行和即将进行的实验中得到检验。
