Spectroscopic Amplitudes at the Vertices of the ${}^{\mathbf{28}}\mathbf{Si}\boldsymbol{\rightarrow p+}{}^{\mathbf{27}}$Al and ${}^{\mathbf{30}}\mathbf{Si}\boldsymbol{\rightarrow t+}{}^{27}$Al Virtual Decays

Abstract

The spectroscopic amplitudes of the virtual decays of silicon isotopes ${}^{28(30)}\textrm{Si}(J_{B})\rightarrow p(t)+{}^{27}\textrm{Al}(J_{A})$ have been obtained using the wave functions of the $1d{-}2s$-shell nuclei in the Nilsson model. It has been shown that correct spectroscopy of the $1d{-}2s$-shell nuclei and consideration of their deformation has a significant effect on the values and signs of the spectroscopic amplitudes of both protons and tritons.