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In this communication, we present the results of the Five-fold DifferentialCross Section (5DCS) and Triple Differential Cross Section (TDCS) for the(e,2e) process on molecular hydrogen ($H_2$) by the plane wave and the twistedelectron beam impact. The formalism is developed within the first Bornapproximation using the plane wave and the twisted wave for the incidentelectron beam. We describe the plane wave, Heitler-London type wave functionand Coulomb wave for the scattered electron, $H_2$ molecular state, and theejected electron respectively. We compare the angular profiles of the 5DCS andTDCS for the different values of Orbital Angular Momentum (OAM) number {\it m}of the twisted electron beam with that of the plane wave beam. We also presentthe 5DCS for different molecular orientations and study the effect of {\it m}on the 5DCS. We further investigate the influence of the twisted electron beamon the (e,2e) process on the $H_2$ molecule from the perspective of the"Young-type" interference of the scattered waves, emanating from the two atomiccenters of the $H_2$ molecule. We also study the TDCS for macroscopic $H_2$target to explore the effect of opening angle ($\theta_p$) of the twistedelectron beam on the TDCS. Our results clearly show the effect of the twistedelectron's OAM number (m) and the opening angle ($\theta_p$) on the 5DCS andTDCS of the molecular hydrogen.

Electron impact single ionization of hydrogen molecule by twisted electron beam