Critical stability and quantum phase transition of two-electron system under exponential-cosine-screened-Coulomb interaction

Sadhukhan, Anjan; Nayek, Sujay Kr.; Saha, Jayanta K.

doi:10.1140/epjd/e2020-10328-8

Cited by 12 publications

(3 citation statements)

References 58 publications

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“…Several theoretical methods have been proposed for accurately calculating the bound state energy spectra of one-electron atoms under the ECSCP [15][16][17][18][19][20][21][22][23][24][25][26]. For two-electron atoms embedded in strongly coupled dense quantum plasmas, investigation of the plasma screening effect on both bound states and auto-ionizing resonances has also attracted considerable interests in recent years [27][28][29][30][31][32][33][34][35][36]. In our previous works [37][38][39], we have successfully studied the asymptotic behavior of one-electron systems near the critical binding threshold and obtained highly accurate critical screening parameters for different bound states in a variety of short-range screened Coulomb potentials.…”

Section: Introductionmentioning

confidence: 99%

p-wave resonances in the exponential cosine screened Coulomb potential*

Wang,

Jiao,

Liu

et al. 2024

Commun. Theor. Phys.

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We perform benchmark calculations of the p-wave resonances in the exponentially cosine screened Coulomb potential using the uniform complex-scaling generalized pseudospectral method. The present results show significant improvement in the calculation accuracy compared to previous predictions and correct the misidentification of resonance electron configuration in previous works. It is found that the resonance states approximately follow a n^2-scaling law which is similar to the bound counterparts. The birth of new resonance would distort the trajectory of an adjacent higher-lying resonance.

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Section: Introductionmentioning

confidence: 99%

p-wave resonances in the exponential cosine screened Coulomb potential*

Wang,

Jiao,

Liu

et al. 2024

Commun. Theor. Phys.

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“…That particular Z value is referred to as the critical nuclear charge of the system (Z c ). In this context, the study of the critical stability of two-electron systems has gained considerable interest [20,[63][64][65][66][67][68][69][70][71][72][73][74][75][76][77][78]. For a recent review on the bound state stability of H − ions in the Hartree-Fock theory in the unconfined state, refer to [79].…”

Section: Introductionmentioning

confidence: 99%

Stability of a two-electron system under pressure confinement: structural and quantum information theoretical analysis

Mondal

Sadhukhan

Sen

et al. 2023

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

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The stability of two-electron Zee system trapped inside an impenetrable spherical cavity are analyzed using explicitly correlated multi-exponent Hylleraas type basis set in the framework of Ritz variational method. The wavefunction is considered to be consistent with the Dirichlet's boundary condition. Four different Z\in [1,(Z_c)_b,0.25,0.0] values are considered, where (Z_c)_b denotes the critical nuclear charge beyond which the system is embedded in discrete positive energy continuum due to the impenetrable nature of the cavity. The energy contribution due to total correlation (in the presence of both radial and angular correlation) effect, the radial correlation limit and angular correlation limit are also studied in details. The thermodynamic pressure felt by the two-electron Zee system inside the cavity is estimated and a formula replicating the behaviour between the pressure and volume of the cavity is deduced by fitting procedure. Different geometrical properties e.g. radial moments [\langle r_1^p\rangle, \langle r_1r_2\rangle, \langle r_{12}^p\rangle, \langle r_< \rangle, \langle r_>\rangle, p = 1-3], angular moments [\langle\cos\theta_1\rangle, \langle\cos\theta_{12}\rangle] and related important physical quantities are determined. The variation of Kirkwood and Buckingham polarizabilities w.r.t. the pressure felt by the two-electron Zee system are analyzed. The one-electron radial density is estimated for each pair of (Z,R), which has been employed to generate the electrostatic potential as well as different information theoretical measures like Shannon entropy, Fisher entropy, R'{e}yni entropy, Tsalis entropy and Onicescu informational energy. The chosen set of information theoretical measures have been found to be the sensitive tools for describing the changes in the electronic structure due to the spatial confinement. An interesting interplay between the electronic and the nuclear contribution to the classical electrostatic potential is observed leading to the shift in the position of its characteristic minimum due to the compression. Wherever possible, a comparison is made in order to ascertain a high accuracy of our numerical results. The procedure of analytic evaluation of the integrals needed to estimate the atomic properties under consideration are discussed in details.

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“…Below the n=2 threshold, we have obtained four P-wave resonances for 𝑝𝑝𝜇 molecular ions and five P-wave resonances for 𝑑𝑑𝜇 and 𝑡𝑡𝜇 molecular ions embedded in the quantum plasma with different shielding parameters. With the advancement in atomic and molecular processes in quantum plasmas ([24,28,30,68,69], references therein),…”

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confidence: 99%

The 3Po states of exotic molecular ions with exponential-cosine-screened Coulomb potentials

Jiang

Kar

2023

Preprint

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We investigate the bound states, Borromean states and resonant states for the 3Po (J = 1) states of \(pp\mu\), \(dd\mu\) and\(tt\mu\) molecular ions interacting with exponential-cosine-screened Coulomb potential. The bound 3Po state energies are calculated using the Rayleigh-Ritz variational method and the resonance parameters are calculated using the stabilization method. Highly correlated exponential wave functions are used. The bound 3Po state energies, the 3Po resonance parameters (energy and width), along with 1S and 2S threshold energies of the \(p\mu\), \(d\mu\) and\(t\mu\) atoms are also reported for different shielding parameters. The critical values of the screening parameters for the 3Po states are also reported for which the three-body exotic molecular systems are stable while all the possible fragments are unbound, that is shows windows for Borromean binding.

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Critical stability and quantum phase transition of two-electron system under exponential-cosine-screened-Coulomb interaction

Cited by 12 publications

References 58 publications

p-wave resonances in the exponential cosine screened Coulomb potential*

p-wave resonances in the exponential cosine screened Coulomb potential*

Stability of a two-electron system under pressure confinement: structural and quantum information theoretical analysis

The 3Po states of exotic molecular ions with exponential-cosine-screened Coulomb potentials

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