费密子与Dirac双子系统的耦合问题

除了库仑耦合和Kazama-杨振宁耦合——кqβ∑·r/2Mr³外,本文同时讨论了费密子Dirac双子应当存在的另一耦合iкzz_de²γ·r/2Mr³。结果表明,对所有角动量态,费密子径向波函数具有物理上合理的原点渐近行为。定性地分析了束缚态的必要条件。发现,对于双子情形,当额外磁矩к→0时,存在费密子束缚态是可能的;但对于磁单极情形,当к→0时,必不存在费密子束缚态。 关键词：

THE COUPLING OF THE SYSTEM OF A FERMION WITH A DIRAC DYON

The Coulomb coupling、the Kazama-Yang coupling-кqβ∑·r/2Mr³ and the coupling iкzz_de²γ·r/2Mr³ between a charged spin-1/2 fermion and a Dirac dyon are considered simultaneously. It is shown that for all the angular momentum states the fermion's radial wave functions have the physically reasonable asymptotic behavior at the origin. The bound state condition is qualitatively analysed. We show that, in the fixed dyon field when the extra magnetic moment к→0, the bound states of fermion exist, but in the fixed monopole field when к→0, the bound states of fermion do not exist.