双缺陷时空中的Cornell和Coulomb势

IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
L.G. Barbosa, L.C.N. Santos, J.V. Zamperlini, F.M. da Silva
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引用次数: 0

摘要

我们分析了包含对偶拓扑缺陷的时空中标量场的量子动力学,特别是宇宙弦和全局单极子。利用概括了这两种缺陷的综合几何效应的广义度量,我们通过分离变量求解Klein-Gordon方程,并研究了外部势的作用,重点是广义Cornell势。通过与纯库仑势的比较分析,阐明了由附加线性项引起的修正。拓扑缺陷的存在使波动方程的径向分量变形,导致束缚态的能谱移位和散射相移的改变。所得结果为理解自旋为0的粒子在非平凡时空几何中的行为提供了更深入的理论基础,特别是在存在不同的潜在相互作用的情况下。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Cornell and Coulomb potentials in the double defect spacetime
We analyze the quantum dynamics of a scalar field in a spacetime incorporating dual topological defects, specifically a cosmic string and a global monopole. Utilizing a generalized metric that encapsulates the combined geometric effects of both defects, we solve the Klein–Gordon equation through separation of variables and examine the role of external potentials, with a focus on the generalized Cornell potential. A comparative analysis against the pure Coulomb potential is conducted to elucidate the modifications induced by the additional linear term. The presence of topological defects deforms the radial components of the wave equation, leading to energy spectrum shifts in bound states and alterations in scattering phase shifts. The results obtained provide a deeper theoretical foundation for understanding the behavior of spin-0 particles in nontrivial spacetime geometries, particularly in the presence of distinct potential interactions.
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来源期刊
Annals of Physics
Annals of Physics 物理-物理:综合
CiteScore
5.30
自引率
3.30%
发文量
211
审稿时长
47 days
期刊介绍: Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.
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