arXiv 1502.019362015-02hep-ph

QCD求和规则和HQET中半轻子$B_c\to D_1^0$跃迁的分析

Analysis of the semileptonic $B_c\to D_1^0$ transition in QCD sum rules and HQET

R. Khosravi

备注：: arXiv admin note: substantial text overlap with arXiv:0907.4773
发表信息：: Eur. Phys. J. C 75 (2015)

摘要：

在三点QCD求和规则和重夸克有效理论的框架下，通过分析半轻子$B_{c}\to D_{1}^0 lν$跃迁，研究了$D_{1}^0(2420[2430]) (J^P=1^+)$介子的结构。我们从三个方面考虑了$D_{1}^0$介子：纯$|c\bar{u}\rangle$态、混合角为$θ$的两个$|^3P_1\rangle$和$|^1P_1\rangle$态的混合态以及在重夸克极限下混合角为$θ=35.3^\circ$的两个上述态的组合.考虑到胶子凝聚的贡献，得到了上述三种情况下相应的形状因子。这些形状因子的数值计算$|c\bar{u}\rangle$和重夸克极限的情况下。所获得的结果的形状因子被用来评估的衰减率和分支比。同样对于混合态，所有提到的物理量都是相对于未知的混合角$θ$绘制的。

英文摘要：

We investigate the structure of the $D_{1}^0(2420[2430]) (J^P=1^+)$ mesons via analyzing the semileptonic $B_{c}\to D_{1}^0 lν$ transition in the frame work of the three--point QCD sum rules and the heavy quark effective theory. We consider the $D_{1}^0$ meson in three ways; the pure $|c\bar{u}\rangle$ state, a mixture of two $|^3P_1\rangle$ and $|^1P_1\rangle$ states with a mixing angle $θ$ and a combination of two mentioned states with mixing angle $θ=35.3^\circ$ in the heavy quark limit. Taking into account the gluon condensate contributions, the relevant form factors are obtained for the three above conditions. These form factors are numerically calculated for $|c\bar{u}\rangle$ and the heavy quark limit cases. The obtained results for the form factors are used to evaluate the decay rates and the branching ratios. Also for mixed states, all of the mentioned physical quantities are plotted with respect to the unknown mixing angle $θ$.

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英文摘要：

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