Analysis of β+ decay of 13N nucleus using a modified one-particle approach

It is known that the calculated values of log<i>ft</i> and the half-life of beta decay are less than the measured values when a single-particle approach is used to calculate these quantities. In this article, we discuss the importance of taking into account the spectroscopic factor in the calculation of the half-life and log<i>ft </i>beta decay of nuclei containing one nucleon in the outer-most shell. We also emphasize on the dominant role of the asymptotic normalization coefficient that takes into account the many-particle effect and allows us to obtain the spectroscopic factor necessary to describe the reaction ¹³N → ¹³C+β⁺+ν_e. We find the asymptotic normalization coefficients using the experimental data of the elastic scattering phase-shift of proton and neutron on ¹²C. Using overlap functions, instead of single-particle functions, we obtain a better comparison with the experimental data. The overlap function is represented as the product of single-particle function and the root of the corresponding spectroscopic factor.

Determination of single neutron spectroscopic factor of doubly shell closed, neutron shell closed and neutron-rich nuclei through (d,p) reaction

The spectroscopic factor (SF) of doubly-magic nuclei, neutron shell closed and neutron-rich nuclei has been determined through ([Formula: see text], [Formula: see text]) reaction in the projectile energy range from 3 to 26[Formula: see text]MeV. The theoretical angular differential cross-sections of ([Formula: see text], [Formula: see text] reactions in scattering center-of-mass angles from [Formula: see text] to [Formula: see text] have been calculated using FRESCO and NRV-DWUCK5 codes. By comparing the theoretical angular differential cross-sections with available experimental angular differential cross-sections, the values of SF have been determined. The exponential increase of SF as a function of neutron separation energy normalized by spin of the recoil nuclei has been shown for the first time for doubly-magic nuclei. The similar type of trend has also been observed for neutron-rich as well as neutron shell closed nuclei as a function of neutron separation energy normalized by asymmetric factor of recoil nucleus. More experimental data are required to verify the trend predicted by this investigation.