Application of ANCs for calculation of β+ decay of 17F nucleus

Abstract

Calculations of half-life in the single-particle model of the nucleus generally give a lower value than the measured data. This difference in the case of beta decay of the 17F nucleus is ∼13%. Calculating many-particle wave functions, taking into account all possible contributions from the interaction between the particles of the nucleus is a very difficult task. We have applied the method of two-particle clustering taking into account spectroscopic factors for the parent and daughter nuclei and have obtained a good agreement with the experimental values of logft and the half-life of the beta decay of 17F. For this purpose, we have used the fitting procedure to find the proton and neutron asymptotic normalization coefficients (ANCs) for the 17F and 17O nuclei, respectively.