Quasibound states of an antiproton and a hydrogen atom

Baye, Daniel Jean; Dohet-Eraly, Jérémy

doi:10.1103/physreva.101.022507

Cited by 4 publications

(8 citation statements)

References 28 publications

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“…For pionic helium, all states with an excited απ subsystem are unstable and the method consists of searching for stationary values of the energies. In the similar cases of antiprotonic helium [8] and antiproton-hydrogen systems [26], the accuracy on the energies matches or improves the best available results in the literature. Other properties of the system such as distances between particles can easily be computed [8,26].…”

Section: Spectroscopic Measurements On Systems Interacting By Thesupporting

confidence: 71%

“…In the similar cases of antiprotonic helium [8] and antiproton-hydrogen systems [26], the accuracy on the energies matches or improves the best available results in the literature. Other properties of the system such as distances between particles can easily be computed [8,26]. The short computing times allow for performing a determination of the sensitivity of the energies to the pion mass.…”

Section: Spectroscopic Measurements On Systems Interacting By Thesupporting

confidence: 71%

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Three-body Coulomb description of pionic helium

Baye

Dohet-Eraly

2021

Phys. Rev. A

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The three-body Schrödinger equation of the system composed of an α particle He 2+ , a negatively charged pion π − , and an electron interacting through Coulomb forces is solved in perimetric coordinates with the Lagrangemesh method. The ground state, quasibound states, and resonances are obtained for total orbital momenta L = 0 − 20. Mean distances between the particles allow for identifying the structure of these states. The widths of resonances broader than 10 −5 atomic units are derived with the complex scaling method. A transition from atomic to molecular structure occurs between L = 10 and L = 13. Excited levels obtained for L = 0 − 5 display hydrogenlike properties for both the α-pion system and the electron excitations. Excited levels with L 14 correspond to a vibrational excitation of the relative motion of the heavy particles. The validity of the Born-Oppenheimer approximation is found to be fair over the whole range of total orbital momenta.

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Section: Spectroscopic Measurements On Systems Interacting By Thesupporting

confidence: 71%

Section: Spectroscopic Measurements On Systems Interacting By Thesupporting

confidence: 71%

Three-body Coulomb description of pionic helium

Baye

Dohet-Eraly

2021

Phys. Rev. A

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“…This expression leads to a 2 × 2 matrix effective Hamiltonian, which acts on the spinor formed by the two independent radial functions Φ o θ,0 and Φ o θ,1 . However, this approach is only suited for describing systems containing two heavy particles with respect to the third one [26][27][28]34]. Instead, we apply the general change of basis functions proposed by Grémaud [35], which significantly improves the convergence rate of the method,…”

Section: Odd P Statesmentioning

confidence: 99%

Lagrange-mesh calculations of P-wave resonances in three-body atomic systems

Servais

Dohet-Eraly

2023

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

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The resonance energies and widths of the P-wave states of helium and of the positronium ion are studied under the hypothesis that their constituting particles interact trough pure or screened Coulomb forces. The resonances are investigated by combining the Lagrange-mesh method and the complex scaling method. This approach is proved to be efficient: rather simple to implement, fast, and accurate. The obtained results improve by several orders of magnitude the best literature results.

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“…The theoretical study of resonances in three-body atomic systems has attracted much interest since several decades (see, for instance, [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] and references therein). Although the accuracy in the determination of resonance energies and widths in three-body systems has increased over time, it does not generally reach the accuracy of bound-state calculations for the same systems.…”

Section: Introductionmentioning

confidence: 99%

“…The Lagrange-mesh method has been applied successfully to the study of various three-body bound states in atomic and molecular physics [23,25,[27][28][29]. Most recently, this method has also been used to study the bound, quasi-bound, and resonance spectra of several exotic atoms or ions [14][15][16]. While accurate resonance energies have been obtained for these exotic systems, the resonance widths could only be determined in a few cases with a rather low accuracy.…”

Section: Introductionmentioning

confidence: 99%

Lagrange-mesh calculations of S-wave resonances in three-body atomic systems

Dohet-Eraly¹,

Servais²

2022

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

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The Lagrange-mesh method is known to be an efficient tool for evaluating the bound states of various three-body atomic and molecular systems. By combining it with the complex scaling method, resonances can also be studied. In this paper, this approach is used for evaluating several S-wave resonances of the helium atom and of the negative positronium ion in vacuum and in Debye plasmas. In spite of its simplicity, the Lagrange-mesh method provides resonance energies and widths more accurate than the best literature results.

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Quasibound states of an antiproton and a hydrogen atom

Cited by 4 publications

References 28 publications

Three-body Coulomb description of pionic helium

Three-body Coulomb description of pionic helium

Lagrange-mesh calculations of P-wave resonances in three-body atomic systems

Lagrange-mesh calculations of S-wave resonances in three-body atomic systems

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