超对称性在束缚态上的表示

Representation of Supersymmetry on Bound States

通过把超对称性守恒荷表达为粒子产生、消灭算子进行分析,我们找到超对称性在超对称场论口袋模型的束缚态上给出有限维表示的条件。由这些条件我们得到选择这种模型的束缚态内组分粒子波函数的准则,它们将使求解这类模型的束缚态的工作显著简化。给出了构造这种表示的例子并指出与“离质壳”表示的关系。还讨论了用超对称场论口袋模型统一描述轻子与夸克的可能性。

After an analysis by means of expressing the supersymmetric charge in terms of particle's creation and destruction operators, we find the conditions, under which supersymmetry on the bound state of a Supersymmetric field-Theoretic Bag model represents finite dimensions. From these conditions, we get the rules of choosing wave functions for particles inside a bound state, uhich will largely simplify the task of finding bound state of the model. Examples are given to show the new features of such notation in comparison with "off such" notation. The possibility of describing leptons and quarks by a Supersymmetric Field-Theoretic Bag model is also discussed.