论文标题
半蛋白质$ b_c $衰减到$ p- $ wave Charmon和$χ_{C1}(3872)$的性质
Semileptonic $B_c$ decays to $P-$wave charmonium and the nature of $χ_{c1}(3872)$
论文作者
论文摘要
$ b_c $ $ b_c $ semileptonic衰减的hardronic形式可以在通用功能方面表达在零恢复点附近,在重型夸克的相对速度和$ 1/m_q $中进行QCD的系统扩展。此类功能与涉及过渡的多重组的成员无关。我们介绍了NLO计算的结果,最高为$ O(1/m_q^2)$在此顺序中对通用函数进行分类。我们在相同模式和不同模式的形式之间进行一组关系,应通过显式计算来重现,从而减少影响此类渠道的HADRONIC不确定性。该方法也有助于调查$χ_{C1}(3872)$的辩论性质,研究$ B_C $ emeptonic衰减的生产,并将其与涉及其他$ 2P $ Charmonia的模式进行比较。
The hadronic form factors of $B_c$ semileptonic decays to the $P-$wave charmonium 4-plet can be expressed near the zero-recoil point in terms of universal functions, performing a systematic expansion in QCD in the relative velocity of the heavy quarks and in $1/m_Q$. Such functions are independent of the member of the multiplet involved in the transitions. We present the results of an NLO calculation up to $O(1/m_Q^2)$ classifying the universal functions at this order. We work out a set of relations among the form factors of the same mode and of different modes, which should be reproduced by explicit calculations, reducing the hadronic uncertainty affecting such channels. The approach is also helpful to investigate the debated nature of $χ_{c1}(3872)$, studying the production in $B_c$ semileptonic decays and comparing it to the modes involving the other $2P$ charmonia.