Confinement impacts of magnetic field on beryllium atom, ions and isoelectronic ions embedded in various plasma environments

Using the variational Monte Carlo method, a first-time investigation is made for the beryllium atom, ions and isoelectronic ions within three plasma environments confined by an external homogeneous magnetic field. The study focusses on the excited singlet and triplet states included in this work, which are the low-lying excited states (1s²2s2p, 1s²2s3s and 1s²2s3p) and the core excited states (1s2s²3s and 1s2s3s²), utilising plasma potentials, such as the screened Coulomb (SCP), exponential cosine screened Coulomb (ECSCP) and Hulthén potentials. Energy eigenvalues are determined using appropriate trial wave functions, which account for electron–electron repulsion and spin parts to adhere to the Pauli exclusion principle. Moreover, two effective factors related to the wave function of the magnetic field and the ECSCP model are considered. The results reveal an intriguing relative ordering for the lithium atom using the three plasma models, with many of the findings being novel contributions yet to be explored.