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Energy Positions of the 1,3DeRydberg Series of the He-Like Ions Up to the N= 9 Threshold

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Journal of Applied Mathematics and Physics 2020年第8期8卷 1535-1549页

作者： Matabara Dieng Babou Diop Malick Sow Youssou Gning mamadi biaye Ababacar Sadikhe Ndao Ahmadou Wagué Department of Physics UFR-SATIC University Alioune Diop of Bambey Bambey Senegal Laboratoire Atomes-Lasers Department of Physics University Cheikh Anta Diop Dakar Senegal Department of Physics and Chemistry Faculty of Sciences and Technologies of Formation and Education University Cheikh Anta Diop Dakar Senegal

The doubly excited states of helium-like ions are investigated using a combination of the no-linear parameters of Hylleraas and the β-parameters of screening constant by unit nuclear charge. Calculations are performed for total energies of low-lying doubly excited states (N = 2 - 9) in He-like ions up to Z = 10. The results obtained from the novel method are in good agreement with the available theoretical calculations and experimental observations.

关键词： Electronic Correlations Variational Calculations Atoms And Ions Helium-Like Systems Singlet States Triplet States Matrix Elements Doubly-Excited States Autoionization

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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)I)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 2s^(2)^(1)S and total energies of doubly excited states 2p^(2)^(1)D,3d^(2)^(1)D,4f^(2)^(1)I of the Helium isoelectronic sequence from H-to Ca^(18+).Calculations are performed using the Modified Atomic Orbital Theory(MAOT)in the framework of a variational *** 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 *** first proposed MAOT variational procedure,leads to accurate results in good agreement as well as with available other theoretical results than experimental *** the present work,a new correlated wave function is presented to express analytically the total energies for the 2s21S ground state and each doubly 2p^(2)^(1)D,3d^(2)^(1)D,4f^(2)^(1)I excited states in the He-like *** present accurate data may be a useful guideline for future experimental and theoretical studies in the(nI^(2))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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