The renormalization of the shell-model Gamow-Teller operator starting from effective field theory for nuclear systems
L. Coraggio, N. Itaco, G. De Gregorio, A. Gargano, Z. H. Cheng, Y. Z., F. R. Xu, M. Viviani
Abstract
For the first time, we approach in this work the problem of the renormalization of the Gamow-Teller decay operator for nuclear shell-model calculations by way of many-body perturbation theory, starting from a nuclear Hamiltonian and electroweak currents derived consistently by way of the chiral perturbation theory. These are the inputs we need to construct microscopically the effective shell-model Hamiltonians and decay operators. The goal is to assess the role of both electroweak currents and many-body correlations as the origins of the well-known problem of the quenching of the axial coupling constant ${g}_{A}$. To this end, the calculation of observables related to the Gamow-Teller transitions has been performed for several nuclear systems outside the $^{40}\mathrm{Ca}$ and $^{56}\mathrm{Ni}$ closed cores and compared with the available data.