The dynamic dipole polarizability (DDP) for metastable helium in plasma environments has been studied recently (Kar et al. in Phys Plasmas 23:082119, 2016) by incorporating plasma screening effect on electron–nucleus interactions. In this work, we investigate the DDP for metastable helium immersed in Debye plasmas using screening effects on both electron–nucleus and electron–electron
... [Show full abstract] interactions. The dynamic dipole polarizabilities for the \(n\,{}^{1}\hbox {S}\,(n=2,3)\) and \(n\,{}^{3}\hbox {S}\,(n=2,3)\) states are reported as functions of Debye screening parameter. First tune-out wavelengths for the \(n\,{}^{1}\hbox {S}\,(n=1,2,3)\) and \(n\,{}^{3}\hbox {S}\,(n=2,3)\) states and magic wavelengths for the \(2\,{}^{3}\hbox {S} \rightarrow 3\,{}^{3}\hbox {S}\) transition are also reported in terms of Debye screening parameter. Magic wavelengths in screening environments are presented for the first time in the literature.