Magnetic dipole hyperfine interactions in137Ba+and the accuracies of the neutral weak interaction matrix elements

Abstract

The relativistic coupled-cluster method is applied to calculate the magnetic dipole hyperfine constant ''A'' of the 6s 1/2 , 6p 1/2 , 6p 3/2 , and 5d 3/2 states of singly ionized barium. After the inclusion of two-body correlation effects into the computation of the hyperfine matrix elements, the accuracy of the obtained values was significantly increased compared to earlier computations. Based on these numbers and earlier calculations of the electric dipole transitions and excitation energies, an estimate for the accuracy of the ͉͓5 p 6 ͔6s 1/2 ͘ →͉͓5p 6 ͔5d 3/2 ͘ parity-nonconserving electric dipole transition amplitude is carried out. The results suggest that for the first time, to our knowledge, a precision of better than 1% is feasible for this transition amplitude.An experiment to observe parity nonconservation ͑PNC͒ in a single trapped and laser cooled ion was proposed by Fortson about a decade ago ͓1͔. Initial steps towards the realization of such an experiment on Ba ϩ have been taken and the results were reported recently ͓2͔.Relativistic many-body calculations have been performed for the parity-nonconserving electric dipole amplitude for the ͉͓5 p 6 ͔6s 1/2 ͘→͉͓5p 6 ͔5d 3/2 ͘ transition in 137 Ba ϩ ͓3,4͔.

Relativistic coupled-cluster-theory analysis of unusually large correlation effects in the determination of gj factors in Ca+

“…terms due to the electron correlation effects. It to be kept in mind that the OS 1v term accounts for the lowest order electron paircorrelation effects, while the OS 2v term incorporates the lowest order electron core-polarization effects in the RCC framework [31,32]. The other terms encompass higher order correlation effects due to non-linear in RCC operators.…”

Thermal Photoionization of the Rydberg Atoms by the Blackbody Radiation: New Relativistic Approach

“…The concrete numerical application of approach now is in a progress. At the sane time, the multiple atomic calculations [ [1][2][3]11,[20][21][22][23][24][25][26] show that a gauge invariant relativistic scheme is significantly more advantagable in comparison with the standard Hartree-Fock (HF) approximation and even Dirac-Fock method and its improved versions [1][2][3]. It should be very illustrative to present some data for the valence shell photoionization cross-section σ of alkali atoms (for example, K) by photons of the energies ω=0.4,0.…”

“…Here we present the gauge-invariant relativistic perturbation theory approach to definition of the thermal photoionization characteristics of the Rydberg atoms, in particular, the Rydberg atoms in the Blackbody radiation. The important feature of new theory is using gauge-invariant procedure to calculating the corresponding electron relativistic wave functions that, as it was underlined in many papers (look, for example, [2,3,18,[19][20][21][22][23][24][25][26]), has a decisive value in correct definition of the corresponding properties.…”

“…[17,19]). Usually the standard methods of atomic physics, including the Hartree-Fock, different model potential schemes , the quantum defect method etc [1][2][3][17][18][19][20][21][22][23][24][25][26] were used in order to define the thermal ionization characteristics of neutral and even Rydberg atoms. The significant advantage of the simple model potential and quantum defect approached (non-relativistic schemes) in comparison with other methods and, particularly, other model potentials is the possibility of presenting analytically, in terms of the hypergeometric functions, the quantitative characteristics for arbitrarily high orders, related to both bound-bound and bound-free transitions.…”

SENSING RADIATIVE TRANSITIONS PROBABILITIES IN SPECTRA OF SOME Ne-LIKE MULTICHARGED IONS

“…(see Refs. [1][2][3][4][5][6][7][8][9][10][11][12][13]). Theoretical methods of calculation of the spectroscopic characteristics for heavy atoms and ions may be divided into a few main groups.…”