Forbidden M1 and E2 transitions in monovalent atoms and ions

Abstract

We carried out a systematic high-precision relativistic study of the forbidden magnetic-dipole and electric-quadrupole transitions in Ca+, Rb, Sr+, Cs, Ba+, Fr, Ra+, Ac2+, and Th3+. This work is motivated by the importance of these transitions for tests of fundamental physics and precision measurements. The relative importance of the relativistic, correlation, Breit correction, and contributions of negative-energy states is investigated. Recommended values of reduced matrix elements are presented together with their uncertainties. The matrix elements and resulting lifetimes are compared with other theoretical values and with experiment where available.

9 pages, 6 tables

References in corpus (8)

• Enhanced laboratory sensitivity to variation of the fine-structure constant using highly-charged ions
• Hole transitions in multiply-charged ions for precision laser spectroscopy and searching for alpha-variation
• Highly-charged ions for atomic clocks, quantum information, and search for $\alpha$-variation
• Investigations of Ra${}^{+}$ properties to test possibilities of new optical frequency standards
• Excitation energies, polarizabilities, multipole transition rates, and lifetimes of ions along the francium isoelectronic sequence
• Theoretical study of lifetimes and polarizabilities in Ba+
• Precision measurement of light shifts at two off-resonant wavelengths in a single trapped Ba+ ion and determination of atomic dipole matrix elements
• Measurement of the branching fractions and lifetime of the $5D_{5/2}$ level of Ba${}^{+}$

Cited by in corpus (12)

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• The electric quadrupole channel of the 7.8 eV ${}^{229}\mathrm{Th}$ transition
• Atomic Spectroscopy with Twisted Photons: Separation of M1--E2 Mixed Multipoles
• Precision Measurement of the Quadrupole Transition Matrix Element in a Single Trapped ${}^{40}$Ca${}^{+}$
• Branching fractions for $P_{3/2}$ decays in Ba${}^{+}$
• Accurate estimations of electromagnetic transitions of Sn IV for stellar and interstellar media
• Theoretical molecular spectroscopy of actinide compounds: The ThO molecule
• Observation of an electric quadrupole transition in a negative ion: Experiment and Theory
• Relativistic semiempirical-core-potential calculations in Ca${}^{+}$, Sr${}^{+}$, and Ba${}^{+}$ ions on Lagrange meshes
• Theoretical characterisation of the barium II and radium II ions
• Investigating Roles of Triple Excitations for High-precision Determination of Clock Properties of Alkaline Earth Metal Singly Charged Ions