1206.0491 (Vadim Rodin)

Relation of isospin-symmetry breaking correction for superallowed beta
decay to energy of charge-exchange giant monopole resonance    [PDF]

Vadim Rodin

Having applied an analytical transformation, a new exact representation for the nuclear isospin-symmetry breaking correction $\delta_C$ to superallowed beta decay is obtained. The correction is shown to be essentially reciprocal to the square of an energy parameter $\Omega_M$ which characterizes charge-exchange monopole strength distribution. The proportionality coefficient in this relation is determined by basic properties of the ground state of the even-even mother nucleus, and should be reliably calculated in any realistic nuclear model. Therefore, the single parameter $\Omega_M$ contains all the information about the properties of excited $0^+$ states needed to describe $\delta_C$. This parameter can possibly be determined experimentally by charge-exchange reactions. Basic quantities of interest are calculated within the isospin-consistent continuum random phase approximation, and the values of $\delta_C$ are compared with the corresponding results by other approaches.

View original: http://arxiv.org/abs/1206.0491