Abstract
The screening effects of the interaction potentials on the lowest 1S doubly-excited states of beryllium-like ions were investigated by calculating the density of resonance states within the framework of the stabilization method. Two types of screened interaction potentials, namely static screened Coulomb potential and exponential cosine screened Coulomb potential, were taken into consideration. A model potential was used to describe the interaction between the core and outer electrons, and the Be-like ions were treated as being effectively three-body systems. Calculations were performed for Be and B+. It was possible to calculate the energy and width of one doubly-excited state of Be and four doubly-excited states of B+ lying above the 1s22p threshold. Significant changes were found to exist in the behaviour of the width with varying screening parameters. To the best of our knowledge, such an investigation on the doubly-excited states of Be-like ions under screened environments is the first reported calculation of this type in the literature.
Highlights
The effects of screened Coulomb potentials (SCP) on the structural and collisional properties of atomic systems have long been subjects of extensive study [1,2,3,4,5,6,7,8,9,10,11]
Hamiltonian of Be-like ions interacting with static screened Coulomb potential (SSCP)/exponential cosine screened Coulomb potential (ECSCP) is given by e−λr12 cos
It was found that a convergent result of up to 10 decimal places can be obtained for binding energies by considering N1 = 30 in the above wave function
Summary
The effects of screened Coulomb potentials (SCP) on the structural and collisional properties of atomic systems have long been subjects of extensive study [1,2,3,4,5,6,7,8,9,10,11]. The Coulomb field of potential around a charge often gets modified or screened due to the influence of an external filed. In few cases, closed-form expressions of screened potentials can be obtained by solving the corresponding. The field of potential around a test charge embedded in weakly coupled plasmas can be adequately described by the static screened Coulomb potential (SSCP) of the following form [1]:. R where λ is a function of plasma parameters, known as the screening parameter, and SSCP is a well-known potential. Apart from its occurrence in plasma physics, it occurs in various branches of physics. Another SCP of this kind is the exponential cosine screened Coulomb potential (ECSCP) of the form:
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