K谐波近似下具有重整化依赖密度相互作用的简并费米气体
The degenerate Fermi gas with renormalized density-dependent interactions in the K harmonic approximation
摘要：
本文给出了超球坐标系中简并费米气体中密度相关零程相互作用的一个简单实现。该方法产生了一个一维有效的潜力，准确地描述了基态能量的超半径的函数，均方根半径的两个自旋组件的气体在整个么正性制度。在幺正性制度的呼吸模式频率被发现限制到非相互作用的值。一个动力学不稳定性，类似于Bosenova，预计是可能的气体中含有三个以上的自旋组件，为大，负，两体散射长度。
英文摘要：
We present a simple implementation of a density-dependent, zero-range interactions in a degenerate Fermi gas described in hyperspherical coordinates. The method produces a 1D effective potential which accurately describes the ground state energy as a function of the hyperradius, the rms radius of the two spin component gas throughout the unitarity regime. In the unitarity regime the breathing mode frequency is found to limit to the non-interacting value. A dynamical instability, similar to the Bosenova, is predicted to be possible in gases containing more than three spin components, for large, negative, two-body scattering lengths.
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