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引用次数: 6
摘要
认为重子中任意两个夸克之间的有效相互作用可以用简谐势近似描述。首先在笛卡尔坐标系中求解,求出与角动量无关的能级。然后,在极柱坐标系中求解问题,以考虑水平的角动量。比较这两种解,在几乎所有实验确定的能级上,角动量和宇称都是对应的。与实验数据的吻合程度令人印象深刻,计算值与实验值的差异一般在5%以下。在6.7%和12.5%(,,,,,,,,,,,,,,和)之间存在几个水平的差异。收稿日期:2011年6月6日,收稿日期:2011年7月13日;编辑:D. Restrepo;审评人:J. H. Munoz,哥伦比亚伊巴格托利马大学和巴西财经研究中心;出处:m.e. de Souza, Papers in Physics 3, 030003 (2011)
Calculation of almost all energy levels of baryons
It is considered that the effective interaction between any two quarks of a baryon can be approximately described by a simple harmonic potential. The problem is firstly solved in Cartesian coordinates in order to find the energy levels irrespective of their angular momenta. Then, the problem is also solved in polar cylindrical coordinates in order to take into account the angular momenta of the levels. Comparing the two solutions, a correspondence is made between the angular momenta and parities for almost all experimentally determined levels. The agreement with the experimental data is quite impressive and, in general, the discrepancy between calculated and experimental values is below 5%. A couple of levels of , , , and present discrepacies between 6.7% and 12.5% ( , , , , , , , , , , , , , , and ). Received: 6 June 2011, Accepted: 13 July 2011; Edited by: D. Restrepo; Reviewed by: J. H. Munoz, Universidad del Tolima, Ibague, Colombia and Centro Brasileiro de Pesquisas Fisica ; DOI: http://dx.doi.org/10.4279/PIP.030003 Cite as: M. E. de Souza, Papers in Physics 3, 030003 (2011)
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