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Title: Relativistic many-body calculations of multipole (E1, M1, E2, M2, E3, and M3) transition wavelengths and rates between 3l{sup -1}4l' excited and ground states in nickel-like ions

Abstract

Wavelengths, transition rates, and line strengths are calculated for the 76 possible multipole (E1, M1, E2, M2, E3, and M3) transitions between the excited 3s{sup 2}3p{sup 6}3d{sup 9}4l, 3s{sup 2}3p{sup 5}3d{sup 1}4l, and 3s3p{sup 6}3d{sup 1}4l and the ground 3s{sup 2}3p{sup 6}3d{sup 1} states in Ni-like ions with the nuclear charges ranging from Z = 30 to 100. The relativistic many-body perturbation theory (RMBPT), including the Breit interaction, is used to evaluate energies and transition rates for multipole transitions in hole-particle systems. This method is based on relativistic many-body perturbation theory, agrees with MCDF calculations in lowest-order, includes all second-order correlation corrections, and includes corrections from negative energy states. The calculations start from a 1s{sup 2}2s{sup 2}2p{sup 6}3s{sup 2}3p{sup 6}3d{sup 1} Dirac-Fock potential. First-order perturbation theory is used to obtain intermediate-coupling coefficients, and the second-order RMBPT is used to determine the matrix elements. The contributions from negative-energy states are included in the second-order E1, M1, E2, M2, E3, and M3 matrix elements. The resulting transition energies and transition rates are compared with experimental values and with results from other recent calculations. As a result, we present wavelengths and transition rates data for the selected transitions that include the 76 possiblemore » multipole (E1, M1, E2, M2, E3, and M3) transitions between the excited 3s{sup 2}3p{sup 6}3d{sup 9}4l, 3s{sup 2}3p{sup 5}3d{sup 1}4l, and 3s3p{sup 6}3d{sup 1}4l states and the ground 3s{sup 2}3p{sup 6}3d{sup 1} state in Ni-like ions. Trends of the line strengths for the 76 multipole transitions and oscillator strengths for the 13 E1 transitions as function of Z are illustrated graphically. The Z-dependence of the energy splitting for all triplet terms of the 3s{sup 2}3p{sup 6}3d{sup 9}4l, 3s{sup 2}3p{sup 5}3d{sup 1}4l, and 3s3p{sup 6}3d{sup 1}4l configurations are shown in the range of Z = 30-100.« less

Authors:
 [1];  [2];  [3];  [4]
  1. Physics Department, University of Nevada, Reno, NV 89557 (United States). E-mail: usafrono@nd.edu
  2. Physics Department, University of Nevada, Reno, NV 89557 (United States)
  3. Physics Department, Hashemite University, Zerga (Jordan)
  4. Lawrence Livermore National Laboratory, Livermore, CA 94550 (United States)
Publication Date:
OSTI Identifier:
20761890
Resource Type:
Journal Article
Resource Relation:
Journal Name: Atomic Data and Nuclear Data Tables; Journal Volume: 92; Journal Issue: 1; Other Information: DOI: 10.1016/j.adt.2005.09.001; PII: S0092-640X(05)00053-7; Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CORRECTIONS; E1-TRANSITIONS; E2-TRANSITIONS; E3-TRANSITIONS; EXCITED STATES; GROUND STATES; INTERMEDIATE COUPLING; M1-TRANSITIONS; M2-TRANSITIONS; M3-TRANSITIONS; MANY-BODY PROBLEM; MATRIX ELEMENTS; NEGATIVE ENERGY STATES; NICKEL IONS; NUCLEAR DATA COLLECTIONS; OSCILLATOR STRENGTHS; PERTURBATION THEORY; RELATIVISTIC RANGE

Citation Formats

Safronova, U.I., Safronova, A.S., Hamasha, S.M., and Beiersdorfer, P. Relativistic many-body calculations of multipole (E1, M1, E2, M2, E3, and M3) transition wavelengths and rates between 3l{sup -1}4l' excited and ground states in nickel-like ions. United States: N. p., 2006. Web. doi:10.1016/j.adt.2005.09.001.
Safronova, U.I., Safronova, A.S., Hamasha, S.M., & Beiersdorfer, P. Relativistic many-body calculations of multipole (E1, M1, E2, M2, E3, and M3) transition wavelengths and rates between 3l{sup -1}4l' excited and ground states in nickel-like ions. United States. doi:10.1016/j.adt.2005.09.001.
Safronova, U.I., Safronova, A.S., Hamasha, S.M., and Beiersdorfer, P. Sun . "Relativistic many-body calculations of multipole (E1, M1, E2, M2, E3, and M3) transition wavelengths and rates between 3l{sup -1}4l' excited and ground states in nickel-like ions". United States. doi:10.1016/j.adt.2005.09.001.
@article{osti_20761890,
title = {Relativistic many-body calculations of multipole (E1, M1, E2, M2, E3, and M3) transition wavelengths and rates between 3l{sup -1}4l' excited and ground states in nickel-like ions},
author = {Safronova, U.I. and Safronova, A.S. and Hamasha, S.M. and Beiersdorfer, P.},
abstractNote = {Wavelengths, transition rates, and line strengths are calculated for the 76 possible multipole (E1, M1, E2, M2, E3, and M3) transitions between the excited 3s{sup 2}3p{sup 6}3d{sup 9}4l, 3s{sup 2}3p{sup 5}3d{sup 1}4l, and 3s3p{sup 6}3d{sup 1}4l and the ground 3s{sup 2}3p{sup 6}3d{sup 1} states in Ni-like ions with the nuclear charges ranging from Z = 30 to 100. The relativistic many-body perturbation theory (RMBPT), including the Breit interaction, is used to evaluate energies and transition rates for multipole transitions in hole-particle systems. This method is based on relativistic many-body perturbation theory, agrees with MCDF calculations in lowest-order, includes all second-order correlation corrections, and includes corrections from negative energy states. The calculations start from a 1s{sup 2}2s{sup 2}2p{sup 6}3s{sup 2}3p{sup 6}3d{sup 1} Dirac-Fock potential. First-order perturbation theory is used to obtain intermediate-coupling coefficients, and the second-order RMBPT is used to determine the matrix elements. The contributions from negative-energy states are included in the second-order E1, M1, E2, M2, E3, and M3 matrix elements. The resulting transition energies and transition rates are compared with experimental values and with results from other recent calculations. As a result, we present wavelengths and transition rates data for the selected transitions that include the 76 possible multipole (E1, M1, E2, M2, E3, and M3) transitions between the excited 3s{sup 2}3p{sup 6}3d{sup 9}4l, 3s{sup 2}3p{sup 5}3d{sup 1}4l, and 3s3p{sup 6}3d{sup 1}4l states and the ground 3s{sup 2}3p{sup 6}3d{sup 1} state in Ni-like ions. Trends of the line strengths for the 76 multipole transitions and oscillator strengths for the 13 E1 transitions as function of Z are illustrated graphically. The Z-dependence of the energy splitting for all triplet terms of the 3s{sup 2}3p{sup 6}3d{sup 9}4l, 3s{sup 2}3p{sup 5}3d{sup 1}4l, and 3s3p{sup 6}3d{sup 1}4l configurations are shown in the range of Z = 30-100.},
doi = {10.1016/j.adt.2005.09.001},
journal = {Atomic Data and Nuclear Data Tables},
number = 1,
volume = 92,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2006},
month = {Sun Jan 15 00:00:00 EST 2006}
}