Studies on electron and positron scattering from acetylene are very important for their applications in the plasma and astronomical environments. In view of such importance, we have performed the cross section calculations for electron and positron scattering from acetylene molecule using the optical model potential method with an analytically obtained static potential. In the present study, the charge cloud of acetylene is represented through multi-center Gaussian wavefunctions and using the same, static potential seen by the projectile electron/positron is evaluated analytically with a new approach. A complex optical potential consisting of our analytical static potential with the appropriate exchange, polarization and absorption potentials has been obtained. Using this complex potential in the Schrodinger equation and utilizing partial wave analysis technique, the scattering phase shifts are evaluated for the electron and positron collisions with the acetylene molecule. Differential, integral, momentum transfer, absorption and total cross sections have been calculated for the incident projectile energies in the range 10−500 eV. The obtained results are compared with the previous available theoretical and experimental results, which show good agreement and thus demonstrate the applicability of our method.

乙炔的电子和正电子散射研究对于它们在等离子体和天文环境中的应用非常重要。鉴于这种重要性，我们使用光学模型电位法和解析获得的静态电位对乙炔分子的电子和正电子散射进行了横截面计算。在本研究中，乙炔的电荷云通过多中心高斯波函数表示，并使用与射弹电子/正电子相同的静态电位，以一种新方法进行分析评估。已经获得了由我们的分析静态电势和适当的交换、极化和吸收电势组成的复杂光学势。在薛定谔方程中使用这种复势并利用分波分析技术，评估电子和正电子与乙炔分子碰撞的散射相移。已经为 10-500 eV 范围内的入射弹丸能量计算了微分、积分、动量传递、吸收和总横截面。将获得的结果与先前可用的理论和实验结果进行比较，结果显示出良好的一致性，从而证明了我们方法的适用性。