论文标题
平面中任意定向偶极子散射的各个方面：短程相互作用影响
Aspects of arbitrarily oriented dipoles scattering in plane: short-range interaction influence
论文作者
论文摘要
对于任意定向的偶极子和广泛的碰撞能量，对平面各向异性偶极散射的谐振发生的影响对平面各向异性偶极散射的影响。我们揭示了2D偶极散射对短距离相互作用的半径的强烈依赖性，该相互作用是由硬壁电势和更现实的Lennard-Jones电位建模的，以及偶极子的相互取向。我们定义了其中一个偶极子的临界（魔术）倾斜角，具体取决于第二个偶极子的方向，用于任意定向的偶极子。发现仅当超过此角度时才会产生共振。与3D情况相反，玻色子（Fermion）2D散射横截面的能量依赖性在不存在共振的情况下增长（减小），能量降低。我们表明，与3D偶极散射不同，偶极子的相互取向强烈影响能量依赖性的形式，这些形式开始随倾斜角的增加而振荡。玻色子和费米子的2D偶极散射中差分横截面的角分布在非共振点上是高度各向异性的。横截面的准确数值计算结果与在出生和艾科尼尔近似中获得的结果非常吻合。
The impact of the short-range interaction on the resonances occurrence in the anisotropic dipolar scattering in a plane was numerically investigated for the arbitrarily oriented dipoles and for a wide range of collision energies. We revealed the strong dependence of the cross section of the 2D dipolar scattering on the radius of short-range interaction, which is modeled by a hard wall potential and by the more realistic Lennard-Jones potential, and on the mutual orientations of the dipoles. We defined the critical (magic) tilt angle of one of the dipoles, depending on the direction of the second dipole for arbitrarily oriented dipoles. It was found that resonances arise only when this angle is exceeded. In contrast to the 3D case, the energy dependencies of the boson (fermion) 2D scattering cross section grows (is reduced) with an energy decrease in the absence of the resonances. We showed that the mutual orientation of dipoles strongly impacts the form of the energy dependencies, which begin to oscillate with the tilt angle increase, unlike the 3D dipolar scattering. The angular distributions of the differential cross section in the 2D dipolar scattering of both bosons and fermions are highly anisotropic at non-resonant points. The results of the accurate numerical calculations of the cross section agree well with the results obtained within the Born and eikonal approximations.
