论文标题
旋转$ 1/2 $费米的两极分化气体的基态能量的三阶校正
Third order corrections to the ground state energy of the polarized diluted gas of spin $1/2$ fermions
论文作者
论文摘要
我们介绍了计算三阶校正的结果，该校正是通过非依赖性的$ 1/2 $ fermions稀释的极化气体的基态能通过自旋依赖性的抑制性两体潜力相互作用的结果。 校正是在有效的现场理论方法中计算得出的，该方法不需要明确指定相互作用的电位，但仅以几个参数来表征它 - 散射长度$ a_0 $，$ a_1，\ dots $和有效的radii $ r_0，\ dots $ - \ dots $ - 可在低能效能费米昂（Plow Energy Fermion -Fermion -Fermion -Fermion -Fermion -Fermion -Fermion -Fermion -Fermion -Fermion -Fermion -Fermion -fermion -fererastic -ferrastic Elastic Elastic Elastic Elastic Elastic Elastic Elastic弹药）中进行测量。 校正是半分析计算的，这是根据系统极化的两个函数表示的。 功能由积分给出，可以使用Mathematica内置例程来轻松评估数值集成。
We present the results of the computation of the third order corrections to the ground state energy of the diluted polarized gas of nonrelativistic spin $1/2$ fermions interacting through a spin-independent repulsive two-body potential. The corrections are computed within the effective field theory approach which does not require specifying the interaction potential explicitly but only to characterize it by only a few parameters - the scattering lengths $a_0$, $a_1,\dots$ and effective radii $r_0,\dots$ - measurable in low energy fermion-fermion elastic scattering. The corrections are computed semi-analytically, that is are expressed in terms of two functions of the system's polarization. The functions are given by the integrals which can be easily evaluated using the Mathematica built-in routines for numerical integration.
