Theory of Relativistic Magnetic Dipole Transitions: Lifetime of the Metastable 23S State of the Heliumlike Ions

Mathematics – Probability

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Scientific paper

It has recently been established that the radiative lifetime of the metastable 23S state of helium and the heliumlike ions is determined by single-photon magnetic dipole (M1) transitions to the ground state, rather than the two-photon process proposed by Breit and Teller. The theory of nl-n'l M1 transitions with n≠n' is developed in the Pauli approximation and extended to two-electron systems. Terms arising from relativistic energy corrections and finite-wavelength effects are included. The results for hydrogenic systems are shown to be identical to those obtained in the relativistic four-component Dirac formulation. The coefficients in the Z-1 perturbation expansion of the 1s2s3S-1s21S M1 transition integral are evaluated through ninth order and used to calculate the M1 emission probabilities from the 23S state of the two-electron ions up to Fe XXV. The emission probability for neutral helium is 1.27 × 10-4 sec-1. The results are compared with recent solar coronal observations by Gabriel and Jordan, and with a measurement of the 23S state lifetime in Ar XVII by Schmieder and Marrus.

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