Irreducible tensor form of the relativistic corrections to the M1 transition operator

Abstract

The relativistic corrections to the magnetic dipole moment operator in the Pauli approximation were derived originally by Drake [1]. In the present paper, we derive their irreducible tensor-operator form to be used in atomic structure codes adopting the Fano-Racah-Wigner algebra for calculating its matrix elements.

Theoretical study of theC−4S3/2o<

“…To fill this gap, we compare our transition probabilities with others for the first elements of its isoelectronic sequence, i.e., N I and O II. A priori, the omission of the relativistic corrections to the M1 transition operator [4,64] could be a serious limitation of our calculations. Indeed, Eissner and Zeippen [65] showed that for transitions between terms of the 2p 3 configuration, in particular, the relativistic corrections are of the same order of magnitude as the usual nonrelativistic amplitude (see N I and O II data of Table XII).…”

“…The carbon negative ion is important in astrophysics and atmosphere physics since nitrogen-like 2p 3 4 S o -2 D o forbidden lines are recognized as useful transitions for abundances determination [4][5][6]. It has also recently been suggested by Le Padellec et al [7] that C − negative ion could intervene in astrophysical reactions.…”

The Allure of High Total Angular Momentum Levels in Multiply-Excited Ions

“…This small contribution, however, is sufficient to perturb the intended high-accuracy lifetime measurements on the 3s 2 3p 2 P o 3/2 level of principal interest. An accurate lifetime measurement on that lower level is of particular interest because it might test a detail of atomic structure (the electron anomalous magnetic moment (EAMM) contribution to the M1 line strength, an uncommonly large quantum electrodynamics (QED) effect at 0.45%; see Reference [62]). It has been conjectured that a test of the EAMM might reveal the presence of "new physics beyond the Standard Model".…”

Critical Assessment of Theoretical Calculations of Atomic Structure and Transition Probabilities: An Experimenter’s View

“…Several measurements of E1-forbidden transition rates have reached an accuracy of better than 0.5%, which implies a significant challenge and requires a qualitative step forward for theory. Conceptually established in the 1950s, but largely overlooked and neglected by atomic structure theoreticians, the anomalous magnetic moment of the electron (EAMM)-beyond the (g − 2) QED effect on the level energy-causes an increase of the M1 transition rate by 0.45% [156,157,159]. A lifetime measurement of an accuracy better than this percentage can in principle test a leading QED correction-and there are not many QED contributions as large as this one.…”