In this communication, we present the results of the five-fold differential cross-section (5DCS) and triple differential cross-section (TDCS) for the (e, 2e) process on molecular hydrogen (H₂) by the plane wave and the twisted electron beam impact. The formalism is developed within the first Born approximation using the plane wave and the twisted wave for the incident electron beam. We describe the plane wave, Heitler–London type wave function, Coulomb wave for the scattered electron, the H₂ molecular state, and the ejected electron. We compare the angular profiles of the 5DCS and TDCS for the different values of orbital angular momentum (OAM) number m of the twisted electron beam with that of the plane wave beam. We also present the 5DCS for different molecular orientations and study the effect of m on the 5DCS. We further investigate the influence of the twisted electron beam on the (e,2e) process on the H₂ molecule from the perspective of the ‘Young-type’ interference of the scattered waves, emanating from the two atomic centers of the H₂ molecule. We also study the TDCS for macroscopic H₂ target to explore the effect of opening angle (θ _p) of the twisted electron beam on the TDCS. Our results clearly show the effect of the twisted electron’s OAM number (m) and the opening angle (θ _p) on the 5DCS and TDCS of the molecular hydrogen.

在本交流中，我们通过平面波和分子动力学方法对分子氢（H ₂）的（e，2e）过程展示了五倍微分截面（5DCS）和三重微分截面（TDCS）的结果。扭曲的电子束撞击。在使用入射电子束的平面波和扭曲波的第一波恩近似中，发展了形式主义。我们描述了平面波，Heitler-London型波函数，散射电子，H ₂分子态和射出电子的库仑波。我们针对轨道角动量（OAM）数m的不同值比较了5DCS和TDCS的角轮廓扭曲电子束与平面波束的关系 我们还介绍了针对不同分子取向的5DCS，并研究了m对5DCS的影响。我们从H ₂分子的两个原子中心发出的散射波的“年轻型”干涉的角度进一步研究了扭曲的电子束对（e，2e）过程对H ₂分子的影响。我们还研究了宏观小时TDCS ₂目标探索开度角（的效果θ _p上TDCS扭曲电子束）。我们的结果清楚地表明了扭曲电子的OAM数（的效果米）和开度角（θ _p）在分子氢的5DCS和TDCS上。