{"title":"Calculation of almost all energy levels of baryons","authors":"M. D. Souza","doi":"10.4279/PIP.030003","DOIUrl":null,"url":null,"abstract":"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)","PeriodicalId":19791,"journal":{"name":"Papers in Physics","volume":null,"pages":null},"PeriodicalIF":1.2000,"publicationDate":"2011-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Papers in Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4279/PIP.030003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 6
Abstract
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)
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)
期刊介绍：
Papers in Physics publishes original research in all areas of physics and its interface with other subjects. The scope includes, but is not limited to, physics of particles and fields, condensed matter, relativity and gravitation, nuclear physics, physics of fluids, biophysics, econophysics, chemical physics, statistical mechanics, soft condensed matter, materials science, mathematical physics and general physics. Contributions in the areas of foundations of physics, history of physics and physics education are not considered for publication. Articles published in Papers in Physics contain substantial new results and ideas that advance the state of physics in a non-trivial way. Articles are strictly reviewed by specialists prior to publication. Papers in Physics highlights outstanding articles published in the journal through the Editors'' choice section. Papers in Physics offers two distinct editorial treatments to articles from which authors can choose. In Traditional Review, manuscripts are submitted to anonymous reviewers seeking constructive criticism and editors make a decision on whether publication is appropriate. In Open Review, manuscripts are sent to reviewers. If the paper is considered original and technically sound, the article, the reviewer''s comments and the author''s reply are published alongside the names of all involved. This way, Papers in Physics promotes the open discussion of controversies among specialists that are of help to the reader and to the transparency of the editorial process. Moreover, our reviewers receive their due recognition by publishing a recorded citable report. Papers in Physics publishes Commentaries from the reviewer(s) if major disagreements remain after exchange with the authors or if a different insight proposed is considered valuable for the readers.
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