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## Publications

Publications (40)

We derive an approximate expression for a "radiative potential" which can be used to calculate QED strong Coulomb field radiative corrections to energies and electric dipole (E1) transition amplitudes in many-electron atoms with an accuracy of a few percent. The expectation value of the radiative potential gives radiative corrections to the energie...

High-precision measurements of violations of fundamental symmetries in atoms are a very effective means of testing the standard model of elementary particles and searching for new physics beyond it. Such studies complement measurements at high energies. We review the recent progress in atomic parity nonconservation and atomic electric dipole moment...

We report a fourfold improvement in the determination of nuclear magnetic moments for neutron-deficient isotopes of francium-207--213, reducing the uncertainties from 2% for most isotopes to 0.5%. These are found by comparing our high-precision calculations of hyperfine structure constants for the ground states with experimental values. In particul...

We report on our calculations of differential hyperfine anomalies in the nuclear single-particle model for a number of atoms and ions of interest for precision atomic tests of the standard model. It is shown that a comparison with available experimental data allows one to discriminate between different nuclear magnetization models. The nuclear sing...

The finite distribution of the nuclear magnetic moment across the nucleus gives a contribution to the hyperfine structure known as the Bohr-Weisskopf (BW) effect. We have obtained an empirical value of -0.24(18)% for this effect in the ground and excited s states of atomic Cs-133. This value is found from historical muonic-atom measurements in comb...

In a recent paper, Sahoo, Das, and Spiesberger, Phys. Rev. D 103, L111303 (2021)PRVDAQ2470-001010.1103/PhysRevD.103.L111303, a calculation of the parity violating 6S-7S E1 amplitude in Cs is reported, claiming an uncertainty of just 0.3%. In this Comment, we point out that key contributions have been omitted, and the theoretical uncertainty has bee...

In this paper we study the influence of electron screening on the Bohr-Weisskopf (BW) effect in many-electron atoms. The BW effect gives the finite-nucleus magnetization contribution to the hyperfine structure. Relativistic atomic many-body calculations are performed for s and p_1/2 states of several systems of interest for studies of atomic parity...

In a recent Letter [B. K. Sahoo, B. P. Das, and H. Spiesberger, Phys. Rev. D 103, L111303 (2021)], a calculation of the parity violating 6S-7S E1 amplitude in Cs is reported, claiming an uncertainty of just 0.3%. In this Comment, we point out that key contributions have been omitted, and the theoretical uncertainty has been significantly underestim...

We report on our calculations of differential hyperfine anomalies in the nuclear single-particle model for a number of atoms and ions of interest for studies of fundamental symmetries violations. Comparison with available experimental data allows one to discriminate between different nuclear magnetization models, and this data supports the use of t...

We report a fourfold improvement in the determination of nuclear magnetic moments for neutron-deficient francium isotopes 207–213, reducing the uncertainties from 2% for most isotopes to 0.5%. These are found by comparing our high-precision calculations of hyperfine structure constants for the ground states with experimental values. In particular,...

We perform high-precision calculations of the hyperfine structure for nS1/2 and nP1/2 states of the alkali-metal atoms Rb, Cs, and Fr across the principal quantum number n and study the trend in the size of the correlations. Our calculations are performed in the all-orders correlation potential method. We demonstrate that the relative correlation c...

We have performed high-precision calculations of the hyperfine structure for n 2S_1/2 and n 2P_1/2 states of the alkali-metal atoms Rb, Cs, and Fr across principal quantum number n, and studied the trend in the size of the correlations. Our calculations were performed in the all-orders correlation potential method. We demonstrate that the relative...

We study the screening of a homogeneous oscillating external electric field E0 in noble-gas atoms using atomic many-body calculations. At zero frequency of the oscillations (ω=0) the screened field E(r) vanishes at the nucleus, E(0)=0. However, the profile of the field E(r) is complicated, with the magnitude of the field exceeding the external fiel...

Calculations of the magnetic hyperfine structure rely on the input of nuclear properties -- nuclear magnetic moments and nuclear magnetization distributions -- as well as quantum electrodynamic (QED) radiative corrections for high-accuracy evaluation in heavy atoms. The uncertainties associated with assumed values of these properties limit the accu...

We have systematically investigated the ground-state hyperfine structure for alkali-metal atoms ^{87}Rb, ^{133}Cs, ^{211}Fr and alkali-metal-like ions ^{135}Ba^+, ^{225}Ra^+, which are of particular interest for parity violation studies. The quantum electrodynamic one-loop radiative corrections have been rigorously evaluated within an extended Furr...

We calculate vacuum polarization corrections to the binding energies in neutral alkali atoms Na through to the superheavy element E119. We employ the relativistic Hartree-Fock method to demonstrate the importance of relaxation of the electronic core and the correlation potential method to study the effects of second and higher orders of perturbatio...

We present a detailed study of the Flambaum-Ginges radiative potential method which enables the accurate inclusion of quantum electrodynamics (QED) radiative corrections in a simple manner in atoms, ions, and molecules over the range 10<=Z<=120, where Z is the nuclear charge. Calculations are performed for binding energy shifts to the lowest valenc...

We consider the largest (Uehling) contribution to the one-loop vacuum
polarization correction to the binding energies in neutral alkali atoms, from
Na through to the superheavy element E119. We use the relativistic Hartree-Fock
method to demonstrate the importance of core relaxation effects. These effects
are sizeable everywhere, though particularl...

We apply a version of the recently developed approach combining the
correlation potential, linearized singles-doubles coupled-cluster, and the
configuration interaction methods to the spectra of the heavy alkaline earths
barium, radium, and element 120. Quantum electrodynamics radiative corrections
are included. We have found unprecedented agreemen...

We have considered a mechanism for inducing a time-reversal violating
electric dipole moment (EDM) in atoms through the interaction of a nuclear EDM
(d_N) with the hyperfine interaction, the "magnetic moment effect". We have
derived the operator for this interaction and presented analytical formulas for
the matrix elements between atomic states. In...

High-precision calculations of the energy levels of the superheavy element Z=120 are presented. The relativistic Hartree-Fock and configuration interaction techniques are employed. The correlations between core and valence electrons are treated by means of the correlation potential method and many-body perturbation theory. Similar calculations for...

High-precision calculations of the energy levels of the superheavy elements Z=119 and Z=120+ are presented. Dominating correlation corrections beyond the relativistic Hartree-Fock method are included to all orders in the Coulomb interaction using the Feynman diagram technique and the correlation potential method. The Breit interaction and quantum e...

We have calculated the atomic electric dipole moments (EDMs) d of ^3He and ^{171}Yb induced by their respective nuclear Schiff moments S. Our results are d(He)= 8.3x10^{-5} and d(Yb)= -1.9 in units 10^{-17}S/(e{fm}^3)e cm. By considering the nuclear Schiff moments induced by the parity and time-reversal violating nucleon-nucleon interaction we find...

With the creation of ultracold atoms and molecules, a new type of chemistry - "resonance" chemistry - emerges: chemical reactions can occur when the energy of colliding atoms and molecules matches a bound state of the combined molecule (Feshbach resonance). This chemistry is rather similar to reactions that take place in nuclei at low energies. In...

We use the configuration interaction method and many-body perturbation theory to perform accurate calculations of energy levels, transition amplitudes, and lifetimes of low-lying states of barium and radium. Calculations for radium are needed for the planning of measurements of parity and time invariance violating effects which are strongly enhance...

A brief review is given of parity violation in the cesium atom. The recent developments in atomic theory are summarized. It is now firmly established that there is agreement with the standard model.

Parity and time invariance violating nuclear forces produce P,T-odd nuclear moments. In turn, these moments can induce electric dipole moments (EDM) in atoms. EDM of diamagnetic atoms is induced by nuclear Schiff moment. We explain the origin of Schiff moment, describe its electric field, mechanisms of collective enhancement (up to 1000 times) in d...

We calculate the 6s-7s parity nonconserving (PNC) E1 transition amplitude E-PNC in cesium. We use an improved all-order technique in the calculation of the correlations and include all significant contributions to E-PNC. Our final value E-PNC = 0.904(1+/-0.5%) x 10(-11)iea(B)(-Q(W)/N) has half the uncertainty claimed in old calculations used for th...

Collisions and chemical reactions of molecules in Bose-Einstein condensates (BECs) are extremely sensitive to weak fields. This sensitivity arises due to the high density of compound resonances and a macroscopic number of molecules with kinetic energy E=0 (perfect energy resolution). We suggest that chemical reactions in molecular BECs could be use...

We have calculated the atomic electric dipole moments (EDMs) induced in ^{199}Hg, ^{129}Xe, ^{223}Rn, ^{225}Ra, and ^{239}Pu by their respective nuclear Schiff moments S. The results are (in units 10^{-17}S(e {fm}^{3})^{-1}e cm): d(^{199}Hg)=-2.8, d(^{129}Xe)=0.38, d(^{223}Rn)=3.3, d(^{225}Ra)=-8.5, d(^{239}Pu)=-11. We have also calculated correcti...

We have calculated the 6s-7s parity nonconserving E1 transition amplitude (E_{PNC}) in cesium. This calculation has been performed with higher numerical accuracy than our 1989 calculation [V.A. Dzuba, V.V. Flambaum, and O.P. Sushkov, Phys. Lett. A {\bf 141}, 147]. Also the Breit interaction has been included and the radiative corrections estimated....

Parity and time invariance violating (P,T-odd) nuclear forces produce P,T-odd nuclear moments. In turn, these moments can induce electric dipole moments (EDMs) in atoms through the mixing of electron wave functions of opposite parity. The nuclear EDM is screened by atomic electrons. The EDM of an atom with closed electron subshells is induced by th...

Parity and time invariance violating (P,T-odd) nuclear forces produce P,T-odd nuclear moments. In turn, these moments can induce electric dipole moments (EDMs) in atoms through the mixing of electron wavefunctions of opposite parity. The nuclear EDM is screened by atomic electrons. The EDM of an atom with closed electron subshells is induced by the...

We have performed ab initio mixed-states and sum-over-states calculations of parity-nonconserving (PNC) electric dipole (E1) transition amplitudes between s-d electron states of Cs, Fr, Ba+, and Ra+. For the lower states of these atoms we have also calculated energies, E1 transition amplitudes, and lifetimes. We have shown that PNC E1 amplitudes be...

We have performed ab initio mixed-states and sum-overstates calculations of parity nonconserving (PNC) electric dipole (E1) transition amplitudes between s-d electron states of Cs, Fr, Ba + , and Ra +. For the lower states of these atoms we have also calculated energies, E1 transition amplitudes, and lifetimes. We have shown that PNC E1 transition...

We propose a nuclear mechanism which can induce an atomic electric dipole moment (EDM). Parity and time reversal violating (P,T-odd) nuclear forces generate a mixed P,T-odd nuclear polarizability beta_{ik} (defined by an energy shift U = -beta_{ik} E_{i}H_{k}, E is electric field and H magnetic field). The interaction of atomic electrons with beta_...

Parity (P) and time (T) invariance violating effects are enhanced in atoms with close states of opposite parity, large nuclear charge Z, and collective P, T-odd nuclear moments. We have performed calculations of the atomic electric dipole moment (EDM) induced in radium by the electron EDM and the nuclear magnetic quadrupole and Schiff moments. We h...

Parity (P) and time (T) invariance violating effects in the Ra atom are strongly enhanced due to close states of opposite parity, the large nuclear charge Z and the collective nature of P,T-odd nuclear moments. We have performed calculations of the atomic electric dipole moments (EDM) produced by the electron EDM and the nuclear magnetic quadrupole...