论文标题
质量比率条件是三个具有接触相互作用的两种两组分粒子的不结合条件
Mass-ratio condition for non-binding of three two-component particles with contact interactions
论文作者
论文摘要
仅对于足够大的重型轻度质量比，可以通过接触相互作用与光粒子相互作用的两个重费。在这项工作中，得出了两种可变性的不平等，以确定特定的$μ^* $，以提出小于$μ^* $的质量比没有三体结合状态。值$μ^* = 5.26 $是通过分析整个角动量和均等$ l^p = 1^ - $的不平等来获得的。对于其他$ l^p $部门，以类似的方式发现了没有三体绑定状态的特定质量比率值。对于通用性，该方法已扩展以确定由两个相同的玻色子组成的系统的相应质量比率值和不同$ l^p $（$ l> 0 $）扇区的独特粒子。
Binding of two heavy fermions interacting with a light particle via the contact interaction is possible only for sufficiently large heavy-light mass ratio. In this work, the two-variable inequality is derived to determine a specific value $ μ^* $ providing that there are no three-body bound states for the mass ratio smaller than $ μ^* $. The value $ μ^* = 5.26 $ is obtained by analyzing this inequality for a total angular momentum and parity $ L^P = 1^- $. For other $ L^P $ sectors, the specific mass-ratio values providing an absence of the three-body bound states are found in a similar way. For generality, the method is extended to determine corresponding mass-ratio values for the system consisting of two identical bosons and a distinct particle for different $ L^P $ ($ L > 0 $) sectors.
