论文标题
相对论三粒子量化条件的等效性
Equivalence of relativistic three-particle quantization conditions
论文作者
论文摘要
我们表明,可以根据引入的r矩阵来重写相对论三粒子量化条件的最近得出的替代形式,以给出无限量 - 辅助三粒子散射幅度的单一表示。结合较早的工作,这表明了汉森和夏普的相对论有效野外理论方法的等效性(参考文献[1,2])和Mai和Döring的“有限数量单位性”方法(参考文献。[3,4])。它还提供了两种粒子子系统任意角动量的后一种方法的概括。
We show that a recently derived alternative form of the relativistic three-particle quantization condition for identical particles can be rewritten in terms of the R matrix introduced to give a unitary representation of the infinite-volume three-particle scattering amplitude. Combined with earlier work, this shows the equivalence of the relativistic effective field theory approach of Hansen and Sharpe (Refs.[1,2]) and the "finite-volume unitarity" approach of Mai and Döring (Refs.[3,4]). It also provides a generalization of the latter approach to arbitrary angular momenta of two-particle subsystems.