Effect of the Pauli exclusion principle in the electric dipole moment of Be9 with |ΔS|=1 interactions

Abstract

We calculate the contribution of the |∆S | = 1 K meson exchange process generated by the Cabibbo-Kobayashi-Maskawa matrix to the electric-dipole moment (EDM) of the 9 Be nucleus by considering the αn-αΛ channel coupling. It is found that the effect of the Pauli exclusion principle is not important intermediate S = −1 state, and that the result is consistent with the EDM of 9 Be calculated with the |∆S | = 1 interactions as a perturbation without considering the nucleus-hypernucleus mixing. Our result suggests that the effect of the |∆S | = 1 interactions is neither suppressed nor enhanced in nuclei, if the difference of binding energies between the nucleus and the hypernucleus is small compared with the hyperon-nucleon mass difference.

Quark model analysis of the Weinberg operator contribution to the nucleon EDM

“…The radial functions φ nlm (r) ≡ r l e −(r/rn) 2 Y lm ( r) and ψ N LM (R) ≡ R L e −(R/RN ) 2 Y LM ( R) are expanded using the geometric progression ρ n = ρ min a n−1 (n = 1 − n max , ρ = r, R), up to angular momenta l, L, Λ ≤ 2. This three-body calculation exactly follows the same procedure as the nuclear EDM calculations [20,24,21,25,26]. The final result for the irreducible nucleon EDM is obtained by calculating Eq.…”

“…1 (c)], however, was neglected. It is actually possible to calculate the irreducible EDM of the nucleon in the nonrelativistic quark model using the Gaussian expansion method [19], as was done for the nuclear EDM [20,21,22,23,24,25,26]. In this proceedings contribution, we report on the calculation of the irreducible contribution [27].…”

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]…”