Abstract
The neutron-proton isovector pairing effect on the beta-plus decay log ft values is studied in typical mirror N≃Z nuclei. The log ft values are calculated by including or not the isovector pairing before and after a particle-number projection using the Sharp-Bardeen-Cooper-Schrieffer (SBCS) method. It is shown that the values obtained after projection in the isovector pairing case are the closest ones to experimental data. The effect of the deformation of the mother and daughter nuclei on the log ft is also studied.
Highlights
Beta decay of nuclei is a key process to access to the structure of the atomic nucleus
We have studied the effect of the deformation of the mother and daughter nuclei on the log f t values using the BCS-np and SBCS-np approaches
We consider the spherical state (c =1, h = 0) and ground state (c =1.1, h =0.1047) of the daughter nucleus. It seems from this set of results that: (i) a small variation of the deformation parameters of a nucleus, affects significantly the values of log f t; (ii) it is important to include the isovector pairing when calculating the values of log f t, and to restore the symmetry of particle-number conservation broken under the BCS-np approach
Summary
Beta decay of nuclei is a key process to access to the structure of the atomic nucleus These transitions are, in principle, well-understood, a satisfactory theoretical description of this process took place only in the 1990s. [6, 7]) In this contribution, we propose to study the isovector n−p pairing effect on the β+ transition probability and on the value of log f t which characterizes these transitions. We propose to study the isovector n−p pairing effect on the β+ transition probability and on the value of log f t which characterizes these transitions This is done within the framework of the BCS approach. The effect of the deformation of the mother and daughter nuclei on the log f t is studied
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