Electric dipole moment of the deuteron in the standard model with NN − Λ N − Σ N coupling

Abstract

We calculate the electric dipole moment (EDM) of the deuteron in the standard model with |∆S| = 1 interactions by taking into account the N N − ΛN − ΣN channel coupling, which is an important nuclear level systematics. The two-body problem is solved with the Gaussian Expansion Method using the realistic Argonne v18 nuclear force and the Y N potential which can reproduce the binding energies of 3 Λ H, 3 Λ He, and 4 Λ He. The |∆S| = 1 interbaryon potential is modeled by the one-meson exchange process. It is found that the deuteron EDM is modified by less than 10%, and the main contribution to this deviation is due to the polarization of the hyperon-nucleon channels. The effect of the Y N interaction is small, and treating ΛN and ΣN channels as free is a good approximation for the EDM of the deuteron.

Nuclear electric dipole moment in the cluster model with a triton: Li7 and B11

“…It has been extensively studied in the past [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. Notable advantages are its accurate measurability, the negligible SM contribution [22][23][24][25][26][27][28][29] from the CP violation of the CKM matrix [30], and the versatility of the choice of systems, illustrated by the results obtained for the neutron [31], atoms [32][33][34][35], muon [36], and the electron in polar molecules [37][38][39].…”

Nuclear Electric Dipole Moment as a Good Probe of CP Violation

“…The SM model contribution to the quark EDM and chromo-EDM is induced at the three-loop level with a value of the order of d q ∼ 10 −35 e cm [40], being thus negligible. We have to note, however, that the long distance contribution at the hadronic level is three to four orders of magnitude larger [41][42][43][44][45], which is not "extremely" small, although it is still below the prospective expermental sensitivity.…”

Weinberg Operator Contribution to the Hadronic CP Violation

“…1 (b)]. This contribution may actually be calculated in the nonrelativistic quark model using the Gaussian expansion method [23] by using the same techniques as the evaluation of the nuclear EDM [24][25][26][27][28][29][30]. The result is [20]…”