LEVINSON THEOREM FOR DIRAC PARTICLES

被引:9
作者
PIEKAREWICZ, J
机构
[1] Supercomputer Computations Research Institute, Florida State University, Tallahassee
来源
PHYSICAL REVIEW C | 1993年 / 48卷 / 05期
关键词
D O I
10.1103/PhysRevC.48.2174
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
Levinson's theorem for Dirac particles constrains the sum of the phase shifts at threshold by the total number of bound states of the Dirac equation. Recently, a stronger version of Levinson's theorem has been proven in which the value of the positive- and negative-energy phase shifts are separately constrained by the number of bound states of an appropriate set of Schrodinger-like equations. In this work we elaborate on these ideas and show that the stronger form of Levinson's theorem relates the individual phase shifts directly to the number of bound states of the Dirac equation having an even or odd number of nodes. We use a mean-field approximation to Walecka's scalar-vector model to illustrate this stronger form of Levinson's theorem. We show that the assignment of bound states to a particular phase shift should be done, not on the basis of the sign of the bound-state energy, but rather, in terms of the nodal structure (even/odd number of nodes) of the bound state.
引用
收藏
页码:2174 / 2181
页数:8
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