Nuclear electric dipole moment in the cluster model with a triton: ${}^7$Li and ${}^{11}$B

Abstract

We calculate the electric dipole moment (EDM) of the nuclei ${}^7$Li and ${}^{11}$B in the cluster model with $\alpha$ (${}^4$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 $\alpha -N$ 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.

arXiv comment12 pages, 2 figures

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