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arXiv 1311.6743hep-phnucl-th
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用双伽玛函数作相互作用势研究重子谱

A study on baryons spectroscopy using digamma-function as interacting potential

L. I. Abou-Salem

摘要:

在本工作中,重子内部夸克之间的相互作用势形式被取为正比于双伽玛函数。利用雅可比坐标系求解三体波方程,计算了所考虑的重子的不同态。除了夸克质量外,本模型只包含两个可调参数。我们的理论计算进行了比较,现有的实验数据和Cornell潜在的计算。在研究重子共振质量的情况下,本势模型的计算结果显示出令人满意的一致性。可以得出这样的结论:重子系统中夸克组分间的相互作用可用所考虑的简单势形式来充分描述。

英文摘要:

In the present work, the interacting potential form between quarks inside a baryon is taken to be proportional to the digamma-function. Using the Jacobi-coordinates the three body wave equation is solved to calculate the different states of the considered baryons. The present model contains only two adjustable parameters in addition to the quark masses. Our theoretical calculations are compared to the available experimental data and Cornelll potential calculations. The present potential model calculations show a satisfied agreement in case of investigated the resonance masses of the considered baryons. One can conclude that; the interaction between the quark constituents of baryon systems could be described adequately by using the considered simple potential form.

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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