论文标题
库仑波袋散射效应的衡量性
Measurability of Coulomb wavepacket scattering effects
论文作者
论文摘要
以前的论文[J.物理。 B:at。摩尔。选择。物理。 50,215302(2017)]表明,如果使用波袋,则部分波浪分析适用于非同性库仑散射。考虑的散射几何形状是特殊的:波袋和电势中心之间正面碰撞的几何形状。我们的结果预测,在这种情况下,我们的结果是向前方向的小角度的阴影区域,以描述从金箔中描述α散射。在本文中,我们将结果推广到非零冲击参数的情况,这是波袋中心垂直于平均动量方向的位移。我们预测从具有较大影响参数的事件的向前方向上有很大的通量。我们发现,散射到偏差区域的显着概率是波袋的空间宽度的影响参数。与卢瑟福公式相比,对卢瑟福公式的平均值比零影响参数预测产生的预测非常吻合。我们考虑了实际实验中可能出现的问题,并讨论了测量与卢瑟福公式偏差的可能性。
A previous paper [J. Phys. B: At. Mol. Opt. Phys. 50, 215302 (2017)] showed that partial wave analysis becomes applicable to nonrelativistic Coulomb scattering if wavepackets are used. The scattering geometry considered was special: that of a head-on collision between the wavepacket and the centre of the potential. Our results predicted, in this case, a shadow zone of low probability for small angles around the forward direction for the description of alpha scattering from a gold foil. In this paper we generalize the results to the case of a nonzero impact parameter, a displacement of the wavepacket centre perpendicular to the average momentum direction. We predict a large flux in the forward direction from events with large impact parameters. We find a significant probability of scattering into the deviation region for impact parameters of order the spatial width of the wavepacket. Averaging over impact parameters produces predictions in excellent agreement with the Rutherford formula down to lower angles than for the zero impact parameter prediction. We consider issues that would arise in a real experiment and discuss the possibility of measuring a deviation from the Rutherford formula.