论文标题
$ n $ n $ boson的阈值扩展公式在有限量中
Threshold expansion formula of $N$-boson in finite volume from variational approach
论文作者
论文摘要
在目前的工作中，我们展示了$ n $相同玻色子的阈值扩展公式如何通过FADDEEV型耦合的动态方程的迭代来得出。阈值附近的$ n $ -boson系统的能量转移以$ n $ body-body幅度的零动量模式为主导，所有粒子几乎是静态的。主要的零动量模式和子领导非零启动模式贡献是通过有限的faddeev型耦合动力方程连接的。通过迭代消除非零矩形模式最终产生了可以通过阈值扩展来解决的分析表达。
In present work, we show how the threshold expansion formula of $N$ identical bosons in finite volume may be derived by iterations of Faddeev-type coupled dynamical equations. The energy shift of $N$-boson system near threshold is dominated by zero momenta mode of $N$-body amplitudes with all particles nearly static. The dominant zero momenta mode and sub-leading non-zero momenta mode contributions are connected through finite volume Faddeev-type coupled dynamical equations. Eliminating non-zero momenta modes by iterations ultimately yields an analytic expression that can be solved by threshold expansion.
