Effects of non-spherical screening for inelastic electron-ion scattering

Gutierrez, F.A.; Diaz-Valdes, J. F.

doi:10.1088/0953-4075/27/3/023

Cited by 46 publications

(24 citation statements)

References 12 publications

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“…with the appropriate values of the root mean square radius, r rms , of the nucleus. To add the screening effects in the electron-electron interactions, we adopt the approximations considered in [35][36][37][38][39] as…”

Section: Debye Model Potentialsmentioning

confidence: 99%

Relativistic spectroscopy of plasma-embedded Li-like systems with screening effects in two-body Debye potentials

Das

Sahoo

Pal

2014

J. Phys. B: At. Mol. Opt. Phys.

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The spectroscopic properties of Li atom and Li-like Ca and Ti ions in the plasma environment are investigated using a relativistic coupled-cluster (RCC) method. Assuming the plasma is of low density and very hot, we consider the Debye model with two approximations by accounting the screening effects: (i) in the nuclear potential alone and (ii) in both the nuclear and the electronelectron interaction potentials. First, the calculations for the energies and the lifetimes of the atomic states are carried out for the plasma free systems in order to check their accuracies following which they are investigated in the plasma environment. It is observed that screenings in the electronelectron interaction potentials stabilize the systems more than the case when the screenings present only in the nuclear potential. Similarly, the earlier predicted blue and red shifts in the ∆n = 0 and ∆n = 0 transition lines (with the principal quantum number n) of the Li-like ions change significantly in the case (ii) approximation. The level-crossings among the energy levels are observed for the large screening effects which seem to be prominent in the states of higher orbital angular momentum. The lifetimes of many low-lying states and the relative line-intensities of the allowed transitions are estimated considering different plasma screening strengths.PACS numbers:

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Section: Debye Model Potentialsmentioning

confidence: 99%

Relativistic spectroscopy of plasma-embedded Li-like systems with screening effects in two-body Debye potentials

Das

Sahoo

Pal

2014

J. Phys. B: At. Mol. Opt. Phys.

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“…In astrophysical plasmas of compact objects and laboratory inertial confinement fusion plasmas, many authors have investigated the screened interaction potentials to study the effect of the plasma environment upon the process of electron-ion collisional excitations in weakly coupled plasmas using the Debye-Hückel interaction potentials. [6][7][8]11 This Debye-Hückel potential describes the properties of a low-density plasma and corresponds to a pair correlation approximation. The plasma described by the Debye-Hückel model is called ideal plasma, since the average energy of interaction between plasma particles is small compared to the average kinetic energy of the particle.…”

Section: Introductionmentioning

confidence: 99%

Semiclassical inelastic electron-ion collisional excitations in nonideal plasmas

Yoon

2000

Physics of Plasmas

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Semiclassical electron-hydrogenic ion collisional excitation cross sections for 1s→2s and 1s →2p 0 in nonideal plasmas are obtained. An effective pseudopotential model taking into account the plasma screening and collective effects is applied to describe the electron-ion interaction potential in a classical nonideal plasma. The semiclassical straight-line trajectory approximation is applied to the motion of the projectile electron in order to investigate the variation of the total inelastic scattering cross section as a function of the projectile energy, nonideal plasma parameter, and Debye length. It is found that the transition probabilities in ideal plasmas described by the Debye-Hückel potential model are greater than those in nonideal plasmas described by the pseudopotential model. The maximum position of the transition probability gets closer to the target core as the projectile energy increases. It is also found that the scaled cross section decreases when the nonideal plasma parameter (␥) is increased, i.e., the nonideality of plasmas reduces the electron-ion collision cross section.

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“…We, however, incorporate screening effects through both the nuclear and electron-electron interactions for more accurate description. Its importance was demonstrated recently in a number of works [40,41,60,67,68]. In our approach, the two-body screening potential is expressed in terms of multiple expansion form and the reduced matrix elements are used for economical computation as described in the subsequent section.…”

Section: Debye Model For Plasma Screeningmentioning

confidence: 99%

Plasma-screening effects in the astrophysically relevant He-like and Li-like Mg and Fe ions*

Sahoo

Das

2016

Eur. Phys. J. D

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The effect of plasma environment on the atomic energy levels of He-like and Li-like Mg and Fe ions have been studied using Debye model. The equation-of-motion coupled-cluster (EOMCC) and Fock-space coupled-cluster (FSCC) formalisms in the relativistic frame work have been adopted to describe the atomic states and the energy levels of the above plasma embedded ions. Salient features of these methods have been described to account the two electron screening effects through the Debye potentials. The two-body screening potential has been derived in the multipole expansion form to evaluate the reduced matrix elements in solving the equation of motion. Using this extended model, we have also predicted that quasi-degeneracy among the energy states having same principal quantum number (n) but different angular momentum (l) is slacken, whereas fine structure splitting is unaffected with increasing plasma strength. These knowledge are useful in estimating radiative opacity, photoionization cross sections, line intensities, etc of the aforementioned astrophysical plasmas.

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Effects of non-spherical screening for inelastic electron-ion scattering

Cited by 46 publications

References 12 publications

Relativistic spectroscopy of plasma-embedded Li-like systems with screening effects in two-body Debye potentials

Relativistic spectroscopy of plasma-embedded Li-like systems with screening effects in two-body Debye potentials

Semiclassical inelastic electron-ion collisional excitations in nonideal plasmas

Plasma-screening effects in the astrophysically relevant He-like and Li-like Mg and Fe ions*

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