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

Abstract

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 Schrödinger 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 irreducible contribution, is smaller than the one obtained after ${\gamma }_5$-rotating the anomalous magnetic moment using the CP-odd mass calculated with QCD sum rules. We estimate the total contribution to be $d_n=w\times 20e\mathrm{MeV}$ and $d_p=-w\times 18e\mathrm{MeV}$ with 60% of theoretical uncertainty.

13 pages, 6 figures

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Cited by in corpus (14)

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• Weinberg Operator Contribution to the Hadronic CP Violation
• Weinberg operator contribution to the CP-odd nuclear force in the quark model
• Exploring CP Violation beyond the Standard Model and the PQ Quality with Electric Dipole Moments
• Nucleon matrix element of Weinberg's CP-odd gluon operator from the instanton vacuum
• Contribution of the Weinberg-type Operator to atomic and nuclear electric dipole moments
• Electric dipole moments of baryons with bottom quarks
• Quark model analysis of the Weinberg operator contribution to the nucleon EDM
• Beautiful and charming chromodipole moments