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.