Large-scale shell-model calculations of nuclear Schiff moments of $^{129}$Xe and $^{199}$Hg

Yanase, Kota; Shimizu, Noritaka

doi:10.48550/arxiv.2006.15142

Cited by 6 publications

(9 citation statements)

References 83 publications

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“…The residual CP-odd moment, the nuclear Schiff moment S A (NSM), has to be evaluated using nuclear structure calculations. This has been done using several methods [7,13,[134][135][136][137][138][139][140]. Here we quote the most recent results for 199 Hg [138,139], 129 Xe [138,140], and 225 Ra [135] nuclei:…”

Section: Ope For the Weinberg Operator Correlatormentioning

confidence: 99%

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Contribution of the Weinberg-type Operator to atomic and nuclear electric dipole moments

Osamura,

Gubler,

Yamanaka

2022

Preprint

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The contribution of the CP violating three-gluon Weinberg operator, 1 3! w f abc νραβ G a µν G b αβ G cµ ρ , to the atomic and nuclear EDMs is estimated using QCD sum rules. After calculating the transition matrix element between the pion and the vacuum through the Weinberg operator, we obtain the long-range CP-odd nuclear force by determining the isovector CP-odd pion-nucleon vertex, using chiral perturbation theory at NLO. The EDMs of 199 Hg, 129 Xe, 225 Ra, 2 H, and 3 He are finally given including comprehensive uncertainty analysis. While the leading contribution of the 199 Hg EDM is given by the intrinsic nucleon EDM, that of 129 Xe atom may be dominated by the one-pion exchange CP-odd nuclear force generated by the Weinberg operator. From current experimental data of the 199 Hg atomic EDM, we obtain an upper limit on the Weinberg operator magnitude of |w| < 4×10 −10 GeV −2 if we assume that it is the only source of CP violation at the scale µ = 1 TeV.

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Section: Ope For the Weinberg Operator Correlatormentioning

confidence: 99%

“…This has been done using several methods [7,13,[134][135][136][137][138][139][140]. Here we quote the most recent results for 199 Hg [138,139], 129 Xe [138,140], and 225 Ra [135] nuclei:…”

Section: Ope For the Weinberg Operator Correlatormentioning

confidence: 99%

Contribution of the Weinberg-type Operator to atomic and nuclear electric dipole moments

Osamura,

Gubler,

Yamanaka

2022

Preprint

View full text Add to dashboard Cite

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“…where S long is sensitive to the nucleon EDM. Using the independent particle model [12], we evaluate…”

Section: Third-order Effect Of Nucleon Edmmentioning

confidence: 99%

“…The Schiff moments of actinide nuclei would be enhanced thanks to octupole correlations and parity doubling of the ground states [8]. It is expected from recent nuclear many-body calculations [9][10][11][12] that the Schiff moment of 225 Ra is greater than that of 199 Hg by orders of magnitude, although the uncertainty is still large.…”

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confidence: 99%

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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“…Recently, the experimental result of the EDM of neutron was updated (|d n | < 1.8 × 10 −26 e cm) [14], and the constraint on the hadronic CP violation became tighter. The measurements of the EDM of diamagnetic atoms [15][16][17] also constrain the neutron EDM at a similar level [18][19][20][21]. Regarding the EDM of the proton, experimental measurements using storage rings are currently in development, with impressive prospective sensitivity of O(10 −29 )e cm [22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Weinberg operator contribution to the nucleon electric dipole moment in the quark model

Yamanaka,

Hiyama

2020

Preprint

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We evaluate the contribution of the CP violating gluon chromo-electric dipole moment (the so-called Weinberg operator, denoted as w) to the electric dipole moment (EDM) of nucleons in the nonrelativistic quark model. The CP-odd interquark potential is modeled by the perturbative one-loop level gluon exchange generated by the Weinberg operator with massive quarks and gluons. The nucleon EDM is obtained by solving the nonrelativistic Schroedinger equation of the three-quark system using the Gaussian expansion method. It is found that the resulting nucleon EDM, which may reasonably be considered as the short-distance effect, is smaller than the long distance one obtained after "γ 5 -rotating" the anomalous magnetic moment using the CP-odd mass calculated with QCD sum rules. We estimate the total contribution to be d n = w × 20 e MeV and d p = −w × 18 e MeV with 60% of theoretical uncertainty.

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Large-scale shell-model calculations of nuclear Schiff moments of $^{129}$Xe and $^{199}$Hg

Cited by 6 publications

References 83 publications

Contribution of the Weinberg-type Operator to atomic and nuclear electric dipole moments

Contribution of the Weinberg-type Operator to atomic and nuclear electric dipole moments

Screening of nucleon electric dipole moments in atomic systems

Weinberg operator contribution to the nucleon electric dipole moment in the quark model

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