Predicting outcomes of electric dipole and magnetic moment experiments

Baryshevsky, V. G.; Porshnev, P. I.

doi:10.48550/arxiv.2104.12230

Cited by 1 publication

(1 citation statement)

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“…The effect of the WO on the neutron EDM was first estimated using the naive dimensional analysis when it was first introduced by Weinberg [46]. Soon after this, it was pointed out that the neutron EDM has two leading hadron level processes [50,51], namely the reducible one generated by the chiral rotation of the neutron anomalous magnetic moment [39,91,92], and the irreducible contact term. The reducible contribution was then calculated using QCD sum rules [68,93], and the irreducible one was evaluated within the quark model [94] (there also exist other hadron level estimations in the literature [95,96]).…”

Section: Introductionmentioning

confidence: 99%

Weinberg operator contribution to the CP-odd nuclear force in the quark model

Yamanaka¹,

Oka²

2022

Preprint

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The contribution of the CP violating three-gluon interaction, proposed by Weinberg, to the shortrange CP-odd nuclear force is evaluated in the nonrelativistic quark model. We first show that the naive leading contribution generated by the quark exchange process vanishes at sufficiently short distance within the resonating group method, by considering the one-loop level gluon exchange CP-odd interquark potential induced by the Weinberg operator with massive quarks and gluons. We then estimate the true leading contribution by evaluating the gluonic correction to the CP-odd interquark potential in the closure approximation. It is found that the resulting irreducible CP-odd nuclear force is comparable to that generated by the chiral rotation of the CP-even short-range nuclear force, where the CP-odd mass calculated with QCD sum rules is used as input. The explicit calculation of the electric dipole moment (EDM) of the 3 He nucleus yields d (irr)3 He (w) = −1.5 w e MeV. The total 3 He EDM, accounting for the intrinsic nucleon EDM, the pion-exchange and the shortrange CP-odd nuclear force, is d (tot)3 He (w) = 20 +14 −11 w e MeV, with the dominant effect coming from the intrinsic nucleon EDM.

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