Blackbody radiation shift of the Ga<sup>+</sup>clock transition

Cheng, Yong; Mitroy, Jim

doi:10.1088/0953-4075/46/18/185004

Cited by 5 publications

(3 citation statements)

References 62 publications

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“…However, our CCSD p T value seems to be little larger then the experimental result but falls within the estimated uncertainty. We found only one more calculation of α in Ga + using the CICP method [50] to compare with our result. Although values from both the calculations are very close but they do not agree within their reported uncertainties.…”

Section: Resultsmentioning

confidence: 56%

Dipole polarizabilities of the transition and post-transition metallic systems

Singh,

Sahoo

2014

Preprint

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We investigate the role of the electron correlation effects in the calculations of the electric dipole polarizabilities (α) of elements belonging to three different groups of periodic table. To understand the propagation of the electron correlation effects at different levels of approximations, we employ the relativistic many-body methods developed, based on the first principles, at mean-field Dirac-Fock (DF), third order many-body perturbation theory (MBPT(3)), random-phase approximation (RPA) and the singly and doubly approximated coupled-cluster methods at the linearized (LCCSD) and non-linearized (CCSD) levels. We observe variance in the trends of the contributions from the correlation effects in a particular group of elements through a employed many-body method; however they resemble similar tendency among the isoelectronic systems. Our CCSD results are within sub-one percent agreement with the experimental values which are further ameliorated by including the contributions from the important triple excitations (CCSDpT method).

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Section: Resultsmentioning

confidence: 56%

Dipole polarizabilities of the transition and post-transition metallic systems

Singh,

Sahoo

2014

Preprint

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“…Cheng and Mitroy have done calculations on B + and Ga + [24,25]. The polarizability data for the other P J states is scare for long time.…”

Section: Introductionmentioning

confidence: 99%

Finite-field calculation of the polarizabilities and hyperpolarizabilities of Al+

Suo

Fan

2013

Phys. Rev. A

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In this study, accurate static dipole polarizability and hyperpolarizability are calculated for Al + ground state 3s 2 1 S 0 and excited state 3s3p 3 P J with J = 0, 1, 2. The finite-field computations use energies obtained with the relativistic configuration interaction approach and the relativistic coupled-cluster approach. Excellent agreement with previously recommended values is found for the dipole polarizability of Al + ground state 3s 2 1 S 0 and excited state 3s3p 3 P 0 as well as the hyperpolarizability of the ground state 3s 2 1 S 0 . The recommended values of the dipole polarizability of the Al + 3s3p 3 P 1 and 3 P 2 and the hyperpolarizability of Al + 3s3p 3 P 0 , 3 P 1 , and 3 P 2 are also given. The impacts of the relativity and spin-orbit coupling are elucidated by analyzing the angular momentum dependence of the dipole polarizability and the hyperpolarizability and comparing the fully and scalar relativistic calculated data. It is shown that the impact of the relativity and spin-orbit coupling are small for the dipole polarizability but become significant for the hyperpolarizability. Finally, the black-body radiation shifts contributed by the dipole polarizability and hyperpolarizability respectively are evaluated for transitions of Al + 3s 2 1 S 0 to 3s3p 3 P J with J = 0, 1, 2.

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“…[32] using sum-rule is higher than the CICP value of 17.92 [33]. Our PRCC (DC) result of 18.056, listed in the Table III, lies between these two results.…”

Section: B Ga + and In +mentioning

confidence: 49%

Electric dipole polarizability of group-IIIA ions using PRCC: Large correlation effects from nonlinear terms

Kumar,

Chattopadhyay,

Mani

et al. 2019

Preprint

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We compute the ground-state electric dipole polarizability of group-IIIA ions using the perturbed relativistic coupled-cluster (PRCC) theory. To account for the relativistic effects and QED corrections, we use the Dirac-Coulomb-Breit Hamiltonian with the corrections from the Uehling potential and the self-energy. The effects of triple excitations are considered perturbatively in the PRCC. Our PRCC results for α are good in agreement with the previous theoretical results for all the ions. From our computations we find that the nonlinear terms in PRCC have significant contributions and must be included to obtain the accurate value of α for group-IIIA ions. For the correction from the Breit interaction, we find that it is largest for Al + and decreases as we go towards the heavier ions. The corrections from the vacuum polarization and the self-energy increase from lighter to heavier ions.

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Blackbody radiation shift of the Ga⁺clock transition

Cited by 5 publications

References 62 publications

Dipole polarizabilities of the transition and post-transition metallic systems

Dipole polarizabilities of the transition and post-transition metallic systems

Finite-field calculation of the polarizabilities and hyperpolarizabilities of Al+

Electric dipole polarizability of group-IIIA ions using PRCC: Large correlation effects from nonlinear terms

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Blackbody radiation shift of the Ga+clock transition

Cited by 5 publications

References 62 publications

Dipole polarizabilities of the transition and post-transition metallic systems

Dipole polarizabilities of the transition and post-transition metallic systems

Finite-field calculation of the polarizabilities and hyperpolarizabilities of Al+

Electric dipole polarizability of group-IIIA ions using PRCC: Large correlation effects from nonlinear terms

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Blackbody radiation shift of the Ga⁺clock transition