Relativistic corrections to He i transition rates

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Journal titleCanadian Journal of Physics
Pages129134; # of pages: 6
SubjectBreit operators; Electric dipole transition; Intermediate state; Light elements; Matrix elements; Nuclear charges; Nuclear mass; Oscillator strengths; Pseudo-states; Relativistic correction; Spin orbits; Spin other orbits; Transition rates; Chemical elements; Helium; Wave functions
AbstractThe relativistic corrections to the theoretical oscillator strengths of light elements such as helium are typically less than 0.1% and usually are ignored. However, they can be important for comparisons with the most accurate experiments, and they rapidly increase in magnitude with increasing nuclear charge. We have begun with the spin-forbidden electric-dipole transitions of neutral helium, using calculations consisting of (1) extremely accurate wave functions without relativistic corrections for both infinite and finite nuclear mass, (2) spin-changing matrix elements through the perturbations of the wave functions by the spin-orbit and spin-other-orbit Breit operators, (3) the use of pseudostates in the sums over all the intermediate states including the continuum, and (4) the inclusion as perturbers of the 1S 0 and 3S 1 states the pseudostates corresponding to the doubly excited npn′p 3P 0 e and npn′p 1P 1 e terms, respectively. As examples of these calculations, we present oscillator strengths for the transitions 1 1S 0-2 3P 1, 2 1S 0-2 3P 1, 2 3S 1-2 1P 1, 2 1P 1-3 3D 1,2, and 2 3P 1,2-3 1D 2.
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AffiliationNational Research Council Canada (NRC-CNRC)
Peer reviewedYes
NPARC number21271691
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Record identifiere4d4242f-d466-45cc-b463-50248b97603c
Record created2014-03-24
Record modified2017-03-23
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