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Variational Calculation of the Doubly-Excited States Nsnp of He-Like Ions via the Modified Atomic Orbitals Theory

Journal of Modern Physics 2021年第2期12卷 105-121页

作者： Abdourahmane Diallo Ibrahima Sakho jean kouhissoré badiane Mamadou Diouldé Ba Modou Tine Department of Physics UFR Sciences and Technologies University Assane Seck of Ziguinchor Ziguinchor Senegal Department of Physics and Chemistry UFR Sciences and Technologies University of Thiès Thiès Senegal

In this paper, we have declined the formalism of the method of the Modified Atomic Orbital Theory (MAOT) applied to the calculations of energies of doubly excited states 2snp, 3snp, and 4snp Helium-like systems. Then we also applied the variational procedure of the Modified Atomic Orbital Theory to the computations of total energies, excitation energies of doubly-excited states 2snp, 3snp, 4snp types of Helium-like systems. The results obtained in this work are in good agreement with the experimental and theoretical values available.

关键词： Modified Atomic Orbital Theory Doubly Excited States Excitation Energy Helium-Like Systems

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Photoionization Study of Cl II, Ar II and Kr II Ions Using the Modified Atomic Orbital Theory

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Journal of Modern Physics 2018年第14期9卷 2594-2622页

作者： Abdourahmane Diallo Mamadou Diouldé Ba jean kouhissoré badiane Momar Talla Gning Malick Sow Ibrahima Sakho Department of Physics UFR Sciences and Technologies University Assane Seck of Ziguinchor Ziguinchor Senegal Department of Physics Faculty of Sciences and Techniques University Cheikh Anta Diop of Dakar Dakar Senegal

Resonance energies of the Cl II-[3s23p3(2D5/2)]nd and [3s23p3(2P3/2)]nd, Ar II-3s23p4(1D2)ns, nd and of the Kr II [4s24p4(1D2)]ns, nd and 4s24p4(3P2,3P1)]ns, 4s24p4(3D2)]ns, nd and 4s24p4(3D2, 1S0)]ns, nd Rydberg series are reported. Natural widths of the Ar II-[3s23p4(1D2)]ns, nd series are also reported. Calculations are done in the framework of the Modified Atomic Orbital Theory (MAOT). Excellent agreements are obtained with available theoretical and experimental data. High lying accurate resonance energies up to n = 40 are tabulated. The possibility to use the MAOT formalism report rapidly with an excellent accuracy the position of the excitation resonances as well as their width within simple analytical formulae is demonstrated.

关键词： Resonance Energies Rydberg Series Natural Widths Modified Atomic Orbital Theory (MAOT)

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Variational Calculations of Energies of the (2snl) 1,3Lπand (2pnl) 1,3 LπDoubly Excited States in Two-Electron Systems Applying the Screening Constant per Unit Nuclear Charge

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Journal of Modern Physics 2021年第3期12卷 328-352页

作者： Momar Talla Gning Ibrahima Sakho Maurice Faye Malick Sow Babou Diop jean kouhissoré badiane Diouldé Ba Abdourahmane Diallo Department of Physics Chemistry UFR Sciences and Technologies University of Thies Thies Senegal Department of Physics Faculty of Sciences and Techniques University Cheikh Anta Diop of Dakar Dakar Senegal Department of Physics UFR Sciences and Technologies University Assane Seck of Ziguinchor Ziguinchor Senegal

In this paper, resonance energies and excitation energies of doubly 2sns 1,3Se, 2snp 1,3P0, 2pnp 1,3De, 2pnd 1,3F0 and 2pnf 1,3Ge excited states of the helium isoelectronic sequence with Z ≤ 10 are calculated. Calculations are carried out in the framework of the variational procedure of the formalism of the Screening Constant per Unit Nuclear Charge (SCUNC). New correlated wave function of Hylleraas type is used. Precise resonance and excitation energies are tabulated and good agreement is obtained when a comparison is made with available literature values.

关键词： Doubly Excited States Helium Isoelectronic Sequence Screening Constant per Unit Nuclear Charge (SCUNC) Correlated Wave Function Resonance Energy Excitation Energies

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Modified Atomic Orbital Calculations of Energy of the(2s^(2)^(1)S)Ground-State,the(2p^(2)^(1)D);(3d^(2)^(1)G)and(4f^(2)^(1)l)Doubly Excited States of Helium Isoelectronic Sequence from H-to Ca^(18+)

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Journal of Applied Mathematics and Physics 2020年第1期8卷 85-99页

作者： Malick Sow Ibrahima Sakho Boubacar Sow Abdou Diouf Youssou Gning Babou Diop Matabara Dieng Abdourahmane Diallo Mamadou DiouldéBa jean kouhissorébadiane Mamadi Biaye Ahmadou Wagué Department of Physics Atoms Lasers LaboratoryFaculty of Sciences and TechnologiesUniversity Cheikh Anta DiopDakarSenegal Department of Physics UFR Sciences et TechnologiesUniversity of ThièsThièsSenegal UFR SATIC University Alioune DIOP de BambeyBambeySenegal Department of Physics UFR of Sciences and TechnologiesUniversity Assane Seck of ZiguinchorZiguinchorSenegal Department of Physics and Chemistry Faculty of Sciences and Technologies of Training and EducationUniversity Cheikh Anta DiopDakarSenegal

We report in this paper the ground-state energy 2s2 1S and total energies of doubly excited states 2p2 1D, 3d2 1D, 4f2 1I of the Helium isoelectronic sequence from H- to Ca18+. Calculations are performed using the Modified Atomic Orbital Theory (MAOT) in the framework of a variational procedure. The purpose of this study required a mathematical development of the Hamiltonian applied to Slater-type wave function [1] combining with Hylleraas-type wave function [2]. The study leads to analytical expressions which are carried out under special MAXIMA computational program. This first proposed MAOT variational procedure, leads to accurate results in good agreement as well as with available other theoretical results than experimental data. In the present work, a new correlated wave function is presented to express analytically the total energies for the 2s2 1S ground state and each doubly 2p2 1D, 3d2 1D, 4f2 1I excited states in the He-like *** present accurate data may be a useful guideline for future experimental and theoretical studies in the (nl2) systems.

关键词： Modified Atomic Orbital Theory Variational Calculations Correlated Wavefunction Energies Ground-State Doubly Excited States Helium Isoelectronic Sequence Atoms and Ions

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