2024/02/02 by Xayavong, L., Lim, Y.
#FOS: Physical sciences #Nuclear Experiment (nucl-ex) #Nuclear Theory (nucl-th)
paper · doi:10.48550/arxiv.2402.01165
We propose two novel constraints for the theoretical corrections to Gamow-Teller transition rates. The first, derived from a two-level model, predicts forbidden regions within the plane defined by the isospin-mixing correction, δC1, and the ratio, η, of the isospin-symmetry Gamow-Teller matrix elements between the upper and lower admixed states. It serves as a filter for the theoretical calculations, particularly effective for small values of |η|. The other employs experimental ft values, incorporating the upper admixed states, and exploits mirror symmetry to eliminate isospin-invariant and nuclear structure-independent quantities. This approach not only offers an alternative mean for collectively testing theoretical corrections but also, as a byproduct, enables the extraction of η2. This provides another sensitive test for the isospin-conserving component of nuclear Hamiltonian. Our investigation reveals a substantial cancellation of among radiative correction contributions in these tests.