JBD直线宇宙弦的量子束缚态  

The Quantum Bound States Around the JBD Straight Cosmic String

作　　者：章世伟 王仁川[2] 

机构地区：[1]上海市化工学校,200333 [2]中国科技大学天体物理中心,合肥230026

出　　处：《高能物理与核物理》1993年第11期1016-1020,共5页High Energy Physics and Nuclear Physics

基　　金：国家自然科学基金

摘　　要：本文探讨了在Jordan-Brans-Dicke理论中,直线宇宙弦能否有量子束缚态的问题,并求解了Klein-Gordon方程与Dirac方程,发现确有束缚态解,而且可能有无限多个。近似地计算了较低能级的能谱。估算了π介子和电子离宇宙弦最近的束缚态位置,它们分别位于10^(13)cm内和10^(-7)cm处,后者的轨道速度为10^(-4)c。In this paper, the existence of bound state solution to Klein-Gordon and Dirac equations under the JBD Straight Cosmic String background is investigated. We prove the existence of such bound states, and point out that the number of which might be infinite. The location and spectrum of bound states of lower energy are calculated. The nearest bound state to string of meson is located within the region 10^(-13)cm. For electron, the nearest one is located at 10^(-7) cm, with orbit velocity 10^(-4)c. The discovery of quantum bound states mentioned might provide a new mechanism for the observation of the cosmic string.

关 键 词：JBD理论 直线宇宙弦 束缚态 引力场 

分 类 号：O413.3[理学—理论物理]