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Double ionization of helium by twisted electron beam

In this communication, we report our calculations of the five-fold differential cross-section (FDCS) for (e,3e) on the He atom using both the plane wave and the twisted incident electron beam. The formalism has been developed in the first Born approximation using the plane wave as well as the twisted electron wave for the incident electron. We describe plane wave, Le Sech, and 2 Coulomb wave with Gamow factor (2CG) respectively for the scattered, bound electrons of He atom and the ejected electrons. We compare the angular profile of the FDCS for different values of orbital angular momentum (OAM) (m) of the twisted electron with that of the plane wave. We present the angular profiles of the FDCS in the θ-variable and constant θ12 mode in the coplanar geometry. The effects of the opening angle (θp) of the twisted electron on the angular profile of the FDCS are also studied.