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重夸克偶素波函数在原点和激发态重夸克偶素产生通过顶夸克衰变在LHC

Heavy quarkonium wave functions at the origin and excited heavy quarkonium production via top quark decays at the LHC

Qi-Li Liao, Guo-Ya Xie

备注：
12 pages,11 figures. arXiv admin note: text overlap with arXiv:1011.5961 by other authors
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摘要：

夸克偶素波函数在原点处的值是研究重夸克偶素的许多物理问题时的一个重要量。这是因为它被广泛用于在有效场论框架内评估重夸克偶素的产生和衰变振幅，例如，非相对论性QCD（NRQCD）本文讨论了零夸克-反夸克分离时Schr ${\rm \ddot{o}}$ dinger径向波函数或其一阶非零导数的值，$|(|c\bar{c})[n]\rangle$ -、$|(|b\bar{c})[n]\rangle$ -和$|(b\bar{b})[n]\rangle$ -夸克偶素的五种势模型，用新的重夸克偶素参数制成表格。此外，在NRQCD框架下，利用重夸克偶素波函数的新值，研究了顶夸克衰变过程中低能级Fock态$|(b\bar{Q})[1S]\rangle$和$|(b\bar{Q})[1P]\rangle$以及高激发态Fock态$|(b\bar{Q})[nS]\rangle$和$|(b\bar{Q})[nP]\rangle$（$Q$代表$c$ -或$b$ -夸克; $n=2,\cdots,6 $）的产生.在LHC的亮度为${\cal L}\propto 10^{34}cm^{-2}s^{-1}$，质心能量为$\sqrt{S}=14$ TeV，通过顶夸克衰变可以产生相当大的重夸克偶素事件，即，根据我们的计算可以得到每年的$4 \times10^5$、$B_c$和$B^*_c$、$2 \times10^4$、$η_b$和$Υ$事件。

英文摘要：

The value of quarkonium wave function at the origin is an important quantity while studying many physical problems concerning a heavy quarkonium. This is because that it is widely used to evaluate the production and decay amplitudes of the heavy quarkonium within the effective filed theory framework, e.g., the non-relativistic QCD (NRQCD). In this paper, the value of the Schr${\rm \ddot{o}}$dinger radial wave function or its first nonvanishing derivative at zero quark-antiquark separation, i.e., $|(|c\bar{c})[n]\rangle$-, $|(|b\bar{c})[n]\rangle$-, and $|(b\bar{b})[n]\rangle$-quarkonium, have been tabulated under five potential models with new parameters of the heavy quarkonium. Moreover, the production of the lower-level Fock states $|(b\bar{Q})[1S]\rangle$ and $|(b\bar{Q})[1P]\rangle$, together with the higher excited Fock states $|(b\bar{Q})[nS]\rangle$ and $|(b\bar{Q})[nP]\rangle$ ($Q$ stands for $c$- or $b$-quark; $n=2,\cdots,6 $) through top quark decays have been studied with the new values of heavy quarkonium wave functions at the origin under the framework of NRQCD. At the LHC with the luminosity ${\cal L}\propto 10^{34}cm^{-2}s^{-1}$ and the center-of-mass energy $\sqrt{S}=14$ TeV, sizable heavy quarkonium events can be produced through top quark decays, i.e., $4 \times10^5$ $B_c$ and $B^*_c$, and $2 \times10^4$ $η_b$ and $Υ$ events per year can be obtained according to our calculation.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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