Nuclear electric dipole moment with relativistic effects in Xe and Hg atoms

Oshima, Sachiko; Fujita, Tomohiro; Asaga, Tomoko

doi:10.1103/physrevc.75.035501

Cited by 5 publications

(8 citation statements)

References 27 publications

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“…It was claimed in Ref. [17] that this contribution is completely screened by the third-order effect of the nucleon EDM interaction, which is represented in Fig. 4(b).…”

Section: Third-order Effect Of Nucleon Edmmentioning

confidence: 92%

Screening of nucleon electric dipole moments in atomic systems

Yanase

2020

Preprint

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We examine the screening effect of nucleon electric dipole moments (EDMs) and the nuclear EDM in an atom. The interactions of the nucleon EDMs with the electrons and protons induce the atomic EDM that survives the screening thanks to the nuclear finite-size effect. Since the leadingorder contribution vanishes for spin 1 2 nuclei, we evaluate the next-to-leading order contribution in 199 Hg. The numerical result implies a lower sensitivity of the atomic EDM on the neutron EDM in comparison with a previous calculation based on a simple expansion of the Schiff moment operator.

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“…It was claimed in Ref. [17] that this contribution is completely screened by the third-order effect of the nucleon EDM interaction, which is represented in Fig. 4(b).…”

Section: Third-order Effect Of Nucleon Edmmentioning

confidence: 92%

Screening of nucleon electric dipole moments in atomic systems

Yanase

2020

Preprint

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“…We expand electron-nucleus part of H 0 (which is the same Hamiltonian as the H 0 in Eq. (2.3) of Ref [3]) in multipoles:…”

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confidence: 96%

“…Ref. [3] claims that it does, at a level much larger than that resulting from the finite size of the nucleus. The authors use the result to argue that the limit on the neutron EDM from experiments in 199 Hg should be |d n | < ∼ 2.5 × 10 −26 e cm, a value nearly an order of magnitude tighter than the generally accepted limit, |d n | < ∼ 4 × 10 −25 e cm [4], and comparable to the current best limit from direct measurement, |d n | < 2.9 × 10 −26 e cm [5].…”

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confidence: 99%

Schiff screening of relativistic nucleon electric-dipole moments by electrons

Liu

Engel

2007

Phys. Rev. C

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We show, at leading-order in the multipole expansion of the electron-nucleus interaction, that nucleon electric-dipole moments are completely shielded by electrons so that they contribute nothing to atomic electric-dipole moments, even when relativity in the nucleus is taken into account. It is well known that relativistic electron motion, by contrast, leads to dipole moments that are not screened; we discuss the reasons for the difference. * Electronic address: cpliu@lanl.gov † Electronic address: engelj@physics.unc.edu

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“…Before going to the discussion of electron shielding, we briefly describe the finite size effects of the atomic EDM; the detailed calculation can be found in Ref. [10].…”

mentioning

confidence: 99%

“…Nuclear EDM from nuclear excitation. The second-order EDM energy due to the intermediate nuclear excitations, keeping the atomic state in the ground state, can be written as [10][11][12] …”

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confidence: 99%

Electric dipole moments (EDM) of ionic atoms

Oshima

2010

Phys. Rev. C

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Recent investigations show that the second-order perturbation calculations of electric dipole moments (EDM) from the finite nuclear size as well as the relativistic effects are all canceled out by the third-order perturbation effects and that this is due to electron screening. To derive the nucleon EDM from the nucleus, we propose to measure the EDM of an ionic system. In this case, it is shown that the nucleon EDM can survive by the reduction factor of 1/Z for the ionic system with one electron stripped off.I. Introduction. It is well known that the electric dipole moments (EDM) of the point nucleus can be completely canceled out because of Schiff's theorem [1,2]. In addition, the EDM of the nucleus with the finite size effects can be also canceled out by electron screening [3,4]. In electron screening, the second-order perturbation calculation is canceled out by the third-order perturbation estimation because of the difference in perturbative interactions between the nucleus and the electrons. That is, like in perturbation theory, the EDM interaction is always the first order in the EDM coupling constant, and in third-order perturbation calculations electron screening can become as large as the second-order effects of the nucleon EDM; therefore they can cancel each other out. This suggests that there is no way to measure any nucleon EDM in the neutral atomic systems.However, there may well be some claim that nuclear EDM can be extracted from Schiff moments [5,6] using theoretical EDM calculations [7]. As we explain later, the physics of the Schiff moments originates from the EDM interactions between nucleons and atomic electrons, and the EDM energy can be obtained from the intermediate atomic excitation. However, the nucleon EDM from the Schiff moments vanishes when the nuclear state is in the s state, and if it is in the p state, the nuclear EDM d A is suppressed as d A 10 −6 d n . Therefore, it is practically impossible to extract any nuclear EDM from Schiff moments.Here, we first show that the nucleon EDM arising from any kind of nuclear EDM interactions is completely canceled out. In fact, the nuclear operator Z i

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Nuclear electric dipole moment with relativistic effects in Xe and Hg atoms

Cited by 5 publications

References 27 publications

Screening of nucleon electric dipole moments in atomic systems

Screening of nucleon electric dipole moments in atomic systems

Schiff screening of relativistic nucleon electric-dipole moments by electrons

Electric dipole moments (EDM) of ionic atoms

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