{"title":"Neutron dynamics in ultra-strong electromagnetic fields: an example model","authors":"Stanley A. Bruce","doi":"10.1515/zna-2024-0070","DOIUrl":null,"url":null,"abstract":"\n This work is concerned with the relativistic quantum dynamics of a self-interacting neutron in the presence of an external ultra-strong electromagnetic (EM) field in a cylindrical inertial frame. We first regard the Dirac–Pauli (DP) Lagrangian to study the planar dynamics of a neutron polarized along the z-axis subjected to a confining external static EM field composed of a homogeneous magnetic field in the z-direction and a linear radial electric field in the polar plane. The corresponding discrete Landau energy levels are found. As a nonlinear (NL) example model, we introduce a 1-flavor Nambu Jona–Lasinio (NJL) mass term into the DP Lagrangian. The continuous ground-state Landau levels are determined. We readily obtain modified Maxwell’s equations associated with these levels. We consider a simple application of the model related to the dynamics of neutrons in the presence of strong-QED fields inside the surface of aligned neutron stars. We briefly comment on possible classical solitonic solutions of the model.","PeriodicalId":23871,"journal":{"name":"Zeitschrift für Naturforschung A","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Zeitschrift für Naturforschung A","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/zna-2024-0070","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This work is concerned with the relativistic quantum dynamics of a self-interacting neutron in the presence of an external ultra-strong electromagnetic (EM) field in a cylindrical inertial frame. We first regard the Dirac–Pauli (DP) Lagrangian to study the planar dynamics of a neutron polarized along the z-axis subjected to a confining external static EM field composed of a homogeneous magnetic field in the z-direction and a linear radial electric field in the polar plane. The corresponding discrete Landau energy levels are found. As a nonlinear (NL) example model, we introduce a 1-flavor Nambu Jona–Lasinio (NJL) mass term into the DP Lagrangian. The continuous ground-state Landau levels are determined. We readily obtain modified Maxwell’s equations associated with these levels. We consider a simple application of the model related to the dynamics of neutrons in the presence of strong-QED fields inside the surface of aligned neutron stars. We briefly comment on possible classical solitonic solutions of the model.
这项研究关注的是在圆柱惯性框架中,自相互作用中子在外部超强电磁场作用下的相对论量子动力学。我们首先利用狄拉克-保利(DP)拉格朗日来研究沿 z 轴极化的中子的平面动力学,该中子受到由 z 方向上的均匀磁场和极面上的线性径向电场组成的约束性外部静态电磁场的作用。我们找到了相应的离散朗道能级。作为非线性(NL)示例模型,我们在 DP 拉格朗日中引入了单味 Nambu Jona-Lasinio (NJL)质量项。我们确定了连续基态朗道能级。我们很容易得到与这些水平相关的修正麦克斯韦方程。我们考虑了该模型的一个简单应用,即在排列整齐的中子星表面内存在强 QED 场时的中子动力学。我们简要评述了该模型可能的经典孤子解。