v. dehghani

The nuclear level density parameter is a vital quantity in nuclear physics. The nuclear level density parameter has been calculated using different methods. In this study, the LDA method calculated the single particle level density, and the nuclear level density parameter has been obtained as a function of temperature. Based on the Lestone method and based on the Thomas-Fermi approximation, the level density parameter has been calculated as the order of the next to Lestone results (corrected Lestone method). Using the calculated nuclear level density parameter and the pairing energy, the nuclear level density, excitation energy, entropy, and heat capacity have been determined.

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.