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Properties of the Lithium Sequence

A. Dalgarno

E. M. Parkinson

  • Harvard College Observatory and Smithsonian Astrophysical Observatory, Cambridge, Massachusetts

  • Graduate School, Princeton University, Princeton, New Jersey

Phys. Rev. 176, 73 – Published 5 December, 1968

DOI: https://doi.org/10.1103/PhysRev.176.73

Abstract

It is shown that in a perturbation description based upon a zero-order single-particle Hamiltonian, the diagonal and off-diagonal matrix elements of a single-particle operator for an N-particle system are essentially just linear combinations of matrix elements for two-particle systems. A similar statement applies to a restricted class of two-particle operators. The theory is applied to the calculation of the leading terms in the relativistic and mass-polarization corrections for the lithium sequence and to the calculation of the 2s2p and 3s3p dipole transition probabilities of the lithium sequence. Comparison of the transition probabilities with experimental data and with the results of refined variational calculations shows that high accuracy can be obtained.

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