论文标题
在二维中散射费米斯
Scattering Hypervolume of Fermions in Two Dimensions
论文作者
论文摘要
我们通过考虑在零能量和零轨道角动量碰撞的三个此类费米子的波函数，定义了在二维中相同的自旋偏振费的三体散射hypervolume $ d_f $。当三个费米子相距遥远或一对，而第三个费米子相距很远时，我们得出了这种波函数的渐近扩展，并且$ d_f $出现在此类扩展的系数中。对于较弱的交互潜力，我们通过使用Born扩展来得出$ D_F $的大概公式。然后，由于$ d_f $，我们研究了三个此类费米子在大型周期区域中的能量转移。这种转变与$ d_f $ $ times乘以费米斯的动量形成的三角形区域的平方。我们还计算了由于非零$ d_f $而导致的自旋偏振二维费米气体的偏移和压力的压力，以及在二维中的自旋极化超电原子量费米气体的三体重组速率。
We define the three-body scattering hypervolume $D_F$ for identical spin-polarized fermions in two dimensions, by considering the wave function of three such fermions colliding at zero energy and zero orbital angular momentum. We derive the asymptotic expansions of such a wave function when three fermions are far apart or one pair and the third fermion are far apart, and $D_F$ appears in the coefficients of such expansions. For weak interaction potentials, we derive an approximate formula of $D_F$ by using the Born expansion. We then study the shift of energy of three such fermions in a large periodic area due to $D_F$. This shift is proportional to $D_F$ times the square of the area of the triangle formed by the momenta of the fermions. We also calculate the shifts of energy and of pressure of spin-polarized two-dimensional Fermi gases due to a nonzero $D_F$ and the three-body recombination rate of spin-polarized ultracold atomic Fermi gases in two dimensions.
