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

The electron and ion properties observed in photoionization inherit the symmetry properties of both a target and radiation. Introducing symmetry breaking in the photoionization process, one can expect to observe a noticeable variation of the vector correlation parameters of either an outgoing photoelectron or a residual ion. One of the ways to violate symmetry is to irradiate matter by twisted radiation, which involves an additional screw. In the paper we present an extension of the approach developed in Phys. Rev. A 108, 023117 (2023) for photoelectron angular distribution to the other vector correlation parameters, specifically, photoelectron spin polarization, orientation, and alignment of the residual ion. Usually two conditions are needed to produce polarized photoelectrons: a system possesses a helix and a presence of noticeable spin-orbital interaction. Here, we investigate whether a twisted light brings an additional helicity to a system. As an illustrative example we consider ionization of a valence $4p$ shell of atomic krypton by circularly and linearly polarized Bessel light. The photoelectron spin components are analyzed as a function of the cone angle of twisted radiation.