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arXiv 2402.11564hep-phnucl-th
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光前夸克模型中径向激发粲偶素的性质

The Properties of Radially Excited Charmonia in The Light Front Quark Model

Muhammad Ridwan, Ahmad Jafar Arifi, Terry Mart

AI总结:

本文在光前夸克模型框架下采用变分法与谐振子展开方法计算粲偶素直至3S态的质量谱和衰变常数,发现屏蔽势结果与实验更吻合,并确认ψ(3S)态对应ψ(4040)共振态。

摘要:

研究激发态粲偶素的性质对于阐明其内部结构具有重要意义。本文利用基于变分法的光前夸克模型,给出了粲偶素直至3S态的质量谱(MS)和衰变常数(DC)。特别地,我们考虑了QCD启发的有效哈密顿量,其中同时包含禁闭势(线性势和屏蔽势)和类库仑势。此外,由于重夸克对称性的存在,我们将超精细相互作用作微扰处理。我们发展了谐振子展开方法来近似激发态的波函数(WF)。我们发现,采用屏蔽势而非线性势的理论计算结果与实验数据符合良好。通过分析质量和衰变常数的结果,我们发现ψ(3S)态的结果与ψ(4040)共振态的性质相吻合。

英文摘要:

Investigating the properties of excited charmonia is important to clarify its internal structure. In this paper, we present the mass spectra (MS) and decay constants (DC) for charmonia up to 3S states calculated by means of the light-front quark model based on a variational approach. In particular, we consider the QCD-motivated effective Hamiltonian, which includes both confinement (linear and screened) and Coulomb-like potentials. Furthermore, since the existence of the nature of heavy quark symmetry, we treat hyperfine interactions perturbatively. We developed the harmonic oscillator expansion method to approximate the wave function (WF) for excited states. We found that the results of our theoretical calculations, using screened potentials rather than linear ones, are in good agreement with experimental data. By looking at the mass and decay constant result, we found that our result on the ψ(3S) state matched the properties of the ψ(4040) resonance.

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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