Parity nonconservation in thallium

Kozlov, M. G.; Porsev, S. G.; Johnson, W. R.

doi:10.1103/physreva.64.052107

Cited by 75 publications

(82 citation statements)

References 33 publications

(47 reference statements)

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“…For Tl, however, the situation is reversed. The experimental accuracy here is about 1% [8], while the theoretical errors are estimated to 2.5-3% [9][10][11]. While for Cs it took a little over a decade for the theory to match the experimental accuracy, for Tl, even after almost two decades the state of the theory remains inadequate.…”

Section: Introductionmentioning

confidence: 86%

Coupled-cluster calculations of properties of the boron atom as a monovalent system

Gharibnejad

Derevianko

2012

Phys. Rev. A

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We present relativistic coupled-cluster (CC) calculations of energies, magnetic-dipole hyperfine constants, and electric-dipole transition amplitudes for low-lying states of atomic boron. The trivalent boron atom is computationally treated as a monovalent system. We explore performance of the CC method at various approximations. Our most complete treatment involves singles, doubles and the leading valence triples. The calculations are done using several approximations in the coupledcluster (CC) method. The results are within 0.2-0.4% of the energy benchmarks. The hyperfine constants are reproduced with 1-2% accuracy.

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Section: Introductionmentioning

confidence: 86%

Coupled-cluster calculations of properties of the boron atom as a monovalent system

Gharibnejad

Derevianko

2012

Phys. Rev. A

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“…A variant of the CI method that has been applied successfully to study energies and transition amplitudes in two-electron atoms is the CI-MBPT method [69][70][71][72][73][74]. There are several versions of the CI-MBPT method that utilize an effective Hamiltonian derived from second-order MBPT.…”

Section: Mixed Configuration Interaction -Mbpt Calculationsmentioning

confidence: 99%

All-Order Methods for Relativistic Atomic Structure Calculations

Safronova¹,

Johnson²

2008

Advances in Atomic, Molecular, and Optical Physics

116

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All-order extensions of relativistic atomic many-body perturbation theory are described and applied to predict properties of heavy atoms. Limitations of relativistic many-body perturbation theory are first discussed and the need for all-order calculations is established. An account is then given of relativistic all-order calculations based on a linearized version of the coupled-cluster expansion. This account is followed by a review of applications to energies, transition matrix elements, and hyperfine constants. The need for extensions of the linearized coupled-cluster method is discussed in light of accuracy limits, the availability of new computational resources, and precise modern experiments. For monovalent atoms, calculations that include nonlinear terms and triple excitations in the coupled-cluster expansion are described. For divalent atoms, results from second-and third-order perturbation theory calculations are given, along with results from configuration-interaction calculations and mixed configuration interaction-many-body perturbation theory calculations. Finally, applications of all-order methods to atomic parity nonconservation, polarizabilities, C 3 and C 6 coefficients, and isotope shifts are given.

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“…where G is the saturation parameter, G = 2Ω 2 ab /γ 2 , with γ the spontaneous decay rate and λ = γ Figure 1 shows the time-evolution of the excited-state population ρ aa , calculated on resonance (kv = δ = 0) by both the Euler method and the method presented in this work, compared with the exact solution given by (24). It is clear that even for this simple system the new method converges significantly more rapidly than the Euler method.…”

Section: Analysis Of Methodsmentioning

confidence: 99%

Doppler cooling of gallium atoms: 2. Simulation in complex multilevel systems

Rutherford¹,

Lane²,

McCann³

2010

J. Phys. B: At. Mol. Opt. Phys.

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Abstract. This paper derives a general procedure for the numerical solution of the Lindblad equations that govern the coherences arising from multicoloured light interacting with a multilevel system. A systematic approach to finding the conservative and dissipative terms is derived and applied to the laser cooling of gallium. An improved numerical method is developed to solve the time-dependent master equation and results are presented for transient cooling processes. The method is significantly more robust, efficient and accurate than the standard method and can be applied to a broad range of atomic and molecular systems. Radiation pressure forces and the formation of dynamic dark-states are studied in the gallium isotope 66 Ga.

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Parity nonconservation in thallium

Cited by 75 publications

References 33 publications

Coupled-cluster calculations of properties of the boron atom as a monovalent system

Coupled-cluster calculations of properties of the boron atom as a monovalent system

All-Order Methods for Relativistic Atomic Structure Calculations

Doppler cooling of gallium atoms: 2. Simulation in complex multilevel systems

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