Application of the residual surface delta interaction in the /beta+ decay of (_^"40" )"Sc" nucleus

Abstract

In this paper the beta decay of Sc40 has been investigated. Using the eigenfunctions of the spherical oscillator the eigenvalues and eigenfunctions of the Woods-Saxon potential with spin-orbit and Coulomb terms have been calculated. In order to obtain the more realistic nuclear wave functions, the surface delta interaction potential has been used as the residual interaction between the valence nucleons in the frame work of Tamm-Dancoff approximation (TDA) in the case of Ca40 and particle-hole Tamm-Dancoff approximation (pnTDA) in the case of Sc40 . The potential constants have been obtained by fitting the results with the experimental data. The half-life and transition probability of positive beta decay of Sc40 have been calculated. Good greement with the experimental data was observed.

Keywords

• beta decay
• woods-saxon potential
• tamm-dancoff approximation (tda)
• surface delta ‎interaction
• residual interaction