General Screened Coulomb Potential : Nonperturbative Solutions

Using nonperturbative solutions, the binding energies for different atoms have been evaluated for the screened Coulomb potentials. The variation of the wavefunction with distance has also been studied. The results obtained are in excellent agreement with earlier calculations.

Doubly-Excited States of Beryllium-Like Ions with Screened Coulomb Potentials

Atoms ◽

10.3390/atoms6030041 ◽

2018 ◽

Vol 6 (3) ◽

pp. 41

Author(s):

Arijit Ghoshal ◽

Yew Ho

Keyword(s):

Excited States ◽

Coulomb Potential ◽

Model Potential ◽

Interaction Potentials ◽

Doubly Excited States ◽

Doubly Excited ◽

Screened Coulomb Potentials ◽

Three Body ◽

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.

Application of the screened Coulomb potential to fit the DA-type variable star HS 0507 + 0434B

Monthly Notices of the Royal Astronomical Society ◽

10.1093/mnras/staa1374 ◽

2020 ◽

Vol 495 (2) ◽

pp. 2428-2435 ◽

Cited By ~ 1

Author(s):

Y H Chen

Keyword(s):

Coulomb Potential ◽

The Core ◽

Star Models ◽

Pure Coulomb ◽

Type Variable ◽

Diffusion Scheme ◽

Best Fitting ◽

Composition Profiles ◽

ABSTRACT wdec is used to evolve grids of DA-variable (DAV) star models adopting the element diffusion scheme with pure and screened Coulomb potentials. The core compositions are thermonuclear burning results derived from mesa. mesa yields composition profiles that the version of wdec used in this work could not accommodate (most notably, the presence of helium in the core of the model). According to the theory of rotational splitting, Fu and colleagues identified six triplets for the DAV star HS 0507 + 0434B based on 206 h of photometric data. The grids of DAV star models are used to fit the six reliable m = 0 modes. When adopting the screened Coulomb potential, a best-fitting model of log(MHe/M*) = −3.0, log(MH/M*) = −6.1, Teff = 11 790 K, M* = 0.625 M⊙, log g = 8.066 and σRMS = 2.08 s was obtained. Compared with adopting the pure Coulomb potential, the value of σRMS is improved by 34 per cent. This study may provide a new method for research into mode-trapping properties.

EFFECTS OF A MIXED VECTOR–SCALAR SCREENED COULOMB POTENTIAL FOR SPINLESS PARTICLES

International Journal of Modern Physics A ◽

10.1142/s0217751x06025390 ◽

2006 ◽

Vol 21 (25) ◽

pp. 5141-5149 ◽

Cited By ~ 8

Author(s):

ANTONIO S. DE CASTRO

Keyword(s):

Gordon Equation ◽

Spinless Particle ◽

Two Dimensional ◽

Bounded Solutions ◽

Screened Coulomb Potentials ◽

Klein Gordon ◽

Bona Fide ◽

Scalar Potentials ◽

The problem of a spinless particle subject to a general mixing of vector and scalar screened Coulomb potentials in a two-dimensional world is analyzed and its bounded solutions are found. Some unusual results, including the existence of a bona fide solitary zero-eigenmode solution, are revealed for the Klein–Gordon equation. The cases of pure vector and scalar potentials, already analyzed in previous works, are obtained as particular cases.