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

Yamanaka, Nodoka*; Oka, Makoto

Physical Review D, 106(7), p.075021_1 - 075021_15, 2022/10

https://doi.org/10.1103/PhysRevD.106.075021

The contribution of the violating three-gluon interaction, proposed by Weinberg, to the short-range -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 -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 -odd interquark potential in the closure approximation. It is found that the resulting irreducible -odd nuclear force is comparable to that generated by the chiral rotation of the -even short-range nuclear force, where the -odd mass calculated with QCD sum rules is used as input. The explicit calculation of the electric dipole moment (EDM) of the He nucleus yields MeV. The total EDM, accounting for the intrinsic nucleon EDM, the pion-exchange and the short- range -odd nuclear force, is MeV, with the dominant effect coming from the intrinsic nucleon EDM.