有限体积下$N$ -玻色子的阈值展开公式
Threshold expansion formula of $N$-boson in finite volume from variational approach
摘要：
本文通过迭代Faddeev型耦合动力学方程，给出了有限体积下$N$全同玻色子的阈值展开公式。$N$ -玻色子系统在阈附近的能量移动主要由$N$ -体振幅的零动量模控制，所有粒子近似静止。通过有限体积Faddeev型耦合动力学方程将主导零动量模和次主导非零动量模的贡献联系起来。通过迭代消除非零动量模式，最终得到一个可以通过阈值展开求解的解析表达式。
英文摘要：
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.
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