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The electron and ion properties observed in a photoionization inherit asymmetry properties of both a target and a radiation. Introducing a symmetrybreaking in a photoionization process one can expect to observe a noticeablevariation of the vector correlation parameters of either outgoing photoelectronor a residual ion. One of the ways to violate symmetry is to irradiate a matterby the twisted radiation which involves an additional screw.  In the paper we present the extension of the approach developed in [Phys.Rev. A 108, 023117 (2023)] for the photoelectron angular distribution to theother vector correlation parameters, exactly photoelectron spin polarization,orientation and alignment of the residual ion. Usually two conditions areneeded to produce polarized photoelectrons: a system possesses a helix and anoticeable spin-orbital interaction. In the paper we investigate if a twistedlight brings an additional helicity to a system. As an illustrative example weconsider ionization of valence $4p$-shell of atomic krypton by circularly andlinearly polarized Bessel light. The photoelectron spin components are analyzedas a function of the cone angle of the twisted radiation.

Vector parameters in atomic ionization by twisted light: polarization of electron and residual ion