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

Abstract

We calculate the electric dipole moment (EDM) of the nuclei 7 Li and 11 B in the cluster model with α ( 4 He) and triton ( 3 H) clusters as degrees of freedom. The 7 Li and 11 B nuclei are treated in the two-and three-body problem, respectively, using the Gaussian expansion method, assuming the one meson exchange P, CP-odd nuclear forces. We find that 7 Li and 11 B have larger sensitivity to the CP violation than the deuteron. It is also suggested that the EDMs of 7 Li and 11 B, together with those of 6 Li, 9 Be and the 1/2 + 1 excited state of 13 C, obey an approximate counting rule accounting for the EDM of the cluster and the α − N polarization. We show their sensitivity on the hadronic level CP violation in terms of the chiral effective field theory, and discuss their role in probing new physics beyond the standard model.

Parity- and Time-Reversal-Violating Nuclear Forces

“…However, a single measurement will be insufficient to identify the source of PVTV, only the availability of the measurement of EDM of various light nuclei such as 2 H, 3 H, and 3 He can impose constrains on all the LECs. Other light nuclear EDMs have been discussed in Yamanaka [208] and Yamanaka et al [247]. EDMs of heavy diamagnetic systems provide very important information as well, but such systems are too large for chiral EFT calculations.…”

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].…”

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]…”