Negative ion of hydrogen in dense semi-classical plasmas: Stability and zero-energy resonances

Das, Biswajit; Masanta, Nirvik; Ghoshal, Arijit

doi:10.1063/5.0064894

Cited by 8 publications

(5 citation statements)

References 62 publications

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“…As a result, scattering cross section becomes infinite for the critical screening. This phenomenon of infinite cross section at the zero-energy is known as zero-energy resonance [59,60].…”

Section: Resultsmentioning

confidence: 99%

Stability of hydrogen molecular ion in non-ideal classical plasmas

Das¹,

Ghoshal²

2022

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

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The eﬀects of non-ideality of plasma on the energy levels of the hydrogen molecular ion (H2 + ) have been investigated by computing accurate binding energies of the ion under non-ideal plasma. The screened interaction potential in the plasma has been described by a pseudopotential which is derived from a solution of Bogolyubovs hierarchy equations by ignoring the eﬀects of quantum degeneracy. Changes in the energy of the ground state and the ﬁrst excited state along with the expectations of some important quantities associated with the ground state of H2 + due to the non-ideality of the plasma varying within a wide range have been studied in details. Special emphasis is made on the stability of the ion under varying non-ideality of plasma. Moreover, appearance of the Borromean window and its changes with varying non-ideality are also been discussed in details.

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“…As a result, scattering cross section becomes infinite for the critical screening. This phenomenon of infinite cross section at the zero-energy is known as zero-energy resonance [59,60].…”

Section: Resultsmentioning

confidence: 99%

Stability of hydrogen molecular ion in non-ideal classical plasmas

Das¹,

Ghoshal²

2022

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

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“…In recent years, a number of theoretical investigations have been carried out to explore the effects of NI of the classical plasmas on the structural and collisional behaviour of atomic systems. [5,[8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] In the present work, we focus on the doubly excited singlet S ( 1 S e ) states in the helium atom (He) embedded in CNIP. Doubly excited states (DES) play a key role in the structural and collisional behaviours of an atomic system.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Helium atom embedded in non‐ideal classical plasmas: Doubly excited singlet S states

Das,

Ghoshal,

2024

Contrib. Plasma Phys

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The influence of the non‐ideality (NI) of the classical plasmas on the doubly excited singlet S states of the helium atom (He) embedded in the plasma has been investigated theoretically. A pseudopotential containing the Debye length and the non‐ideality parameter (NIP) as its characteristics is used to represent the screened interaction potentials in the plasma. Using a large wavefunction within the framework of the stabilization method, it has been possible to recognize six doubly excited singlet S states (five lying below the He+(2S) excitation threshold and one lying below the He+(3S) excitation threshold) for the plasma‐free case. The energies and the autoionization life‐times of those states are computed by fitting the density of states to the Lorentzian form. Convergence of the computed results is corroborated by increasing the number of terms in the employed wavefunction. For the plasma‐free case, these results are in excellent agreement with the established results in the literature. A comprehensive analysis has been made on changes induced on those doubly excited states by varying NI over a wide range. It has been observed that the energies of the states gradually approach the corresponding threshold energies with the increasing NI of the plasma, whereas the change in the life‐times (alternatively the widths of the states) of the states shows distinctive features depending on the angular momentum of an individual electron.

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“…It is to be mentioned that equation () reduces to the DHP () in the weak limit of

γ

(that is

γ \to 0

) and pure Coulomb potential for

μ \to 0

. Of late, a number of theoretical investigations relating to non‐ideal classical plasmas (NICP) used the pseudopotential () to represent the organized effect of the plasmas [33–50].…”

Section: Introductionmentioning

confidence: 99%

“…0. Of late, a number of theoretical investigations relating to non-ideal classical plasmas (NICP) used the pseudopotential (3) to represent the organized effect of the plasmas [33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50].…”

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confidence: 99%

Spherically confined hydrogenic atoms under classical non‐ideal plasmas: Scaling law for the critical cage size

Das,

Ghoshal

2023

Int J of Quantum Chemistry

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An elegant calculation is carried out to investigate the effects of the non‐ideality of classical plasma on the energy levels of the hydrogenic atoms held in a spherical cage. Organized effect of the non‐ideal classical plasma is described by an analytical pseudopotential which contains the Debye length and non‐ideality parameter as parameters. Convergent results for the bound states are obtained variationally by utilizing a large trail function containing cosine term which automatically takes care of the requisite boundary conditions. For the plasma‐free case, our results are in excellent agreement with the most accurate results available in the literature. An inclusive study is made to explore the changes emerging in the energy levels due to the variation of the plasma parameters and cage size. Special emphasis is made on the determination of critical cage size precisely. The present study specifically reveals that the increasing plasma non‐ideality leads to the elongation of the critical cage size. Moreover, it is empirically found that the critical cage size for a given hydrogenic atom can be obtained from a scaling law.

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Negative ion of hydrogen in dense semi-classical plasmas: Stability and zero-energy resonances

Cited by 8 publications

References 62 publications

Stability of hydrogen molecular ion in non-ideal classical plasmas

Stability of hydrogen molecular ion in non-ideal classical plasmas

Helium atom embedded in non‐ideal classical plasmas: Doubly excited singlet S states

Spherically confined hydrogenic atoms under classical non‐ideal plasmas: Scaling law for the critical cage size

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