狄拉克方程的局部约简在夸克相互作用研究中的应用

IF 0.9 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

Acta Physica Polonica B Pub Date : 2021-03-10 DOI:10.5506/APhysPolB.52.125

M. Sanctis

{"title":"狄拉克方程的局部约简在夸克相互作用研究中的应用","authors":"M. Sanctis","doi":"10.5506/APhysPolB.52.125","DOIUrl":null,"url":null,"abstract":"A general procedure of local reduction for the Dirac equation is introduced to study one- and n-body interacting systems. In the one-body case we show that the reduction allows for an approximate solution of the Dirac equation, correlating the upper and the lower components of the wave function. The two-body case is studied in more detail. We show that the method prevents from introducing spurious, unphysical states. The reduction is also applied to another relativistic equation. Finally, the method is used to construct a specific model in order to study the Charmonium spectrum.","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2021-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Local Reduction of the Dirac Equation Applied to the Study of Quark Interactions\",\"authors\":\"M. Sanctis\",\"doi\":\"10.5506/APhysPolB.52.125\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A general procedure of local reduction for the Dirac equation is introduced to study one- and n-body interacting systems. In the one-body case we show that the reduction allows for an approximate solution of the Dirac equation, correlating the upper and the lower components of the wave function. The two-body case is studied in more detail. We show that the method prevents from introducing spurious, unphysical states. The reduction is also applied to another relativistic equation. Finally, the method is used to construct a specific model in order to study the Charmonium spectrum.\",\"PeriodicalId\":7060,\"journal\":{\"name\":\"Acta Physica Polonica B\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2021-03-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Physica Polonica B\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.5506/APhysPolB.52.125\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Physica Polonica B","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.5506/APhysPolB.52.125","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

摘要

介绍了用于研究单体和n体相互作用系统的Dirac方程的一般局部约简方法。在单体情况下，我们表明，这种约简允许狄拉克方程的近似解，使波函数的上下分量相关联。对两体情况进行了更详细的研究。我们证明了该方法可以防止引入虚假的非物理状态。这种简化也适用于另一个相对论方程。最后，利用该方法建立了具体的模型，对Charmonium谱进行了研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A Local Reduction of the Dirac Equation Applied to the Study of Quark Interactions

A general procedure of local reduction for the Dirac equation is introduced to study one- and n-body interacting systems. In the one-body case we show that the reduction allows for an approximate solution of the Dirac equation, correlating the upper and the lower components of the wave function. The two-body case is studied in more detail. We show that the method prevents from introducing spurious, unphysical states. The reduction is also applied to another relativistic equation. Finally, the method is used to construct a specific model in order to study the Charmonium spectrum.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Acta Physica Polonica B 物理-物理：综合

CiteScore

1.70

自引率

20.00%

发文量

审稿时长

3-8 weeks

期刊介绍： Acta Physica Polonica B covers the following areas of physics: -General and Mathematical Physics- Particle Physics and Field Theory- Nuclear Physics- Theory of Relativity and Astrophysics- Statistical Physics