Z. Naturforsch. 68a, 709 – 714
Study of Electromagnetic Multipole Transition Half-Lives of One-Hole 15O–15N and One-Particle 17O–17F Mirror Nuclei
Department of Nuclear Physics, Faculty of Science, University of Mazandaran, P.O. Box 47415-416, Babolsar, Iran
Received December 25, 2012 / revised July 29, 2013 / published online October 2, 2013
Energy spectrum and wave functions are obtained numerically with a potential consisting of Woods–Saxon, Coulomb, and spin–orbit coupling parts for the nuclei 15O, 15N, 17O, and 17F. The radial parts of the wave functions are used to calculate some matrix elements of electromagnetic transitions. These results are applied to calculate half-lives of low-lying exited states in the one-particle 17O and 17F as well as in the one-hole 15O and 15N isotopes. The calculated half-lives are compared with available experimental and theoretical results based on harmonic oscillator wave functions and Weisskopf units. In comparison with the results calculated from the other methods, our results based on the Woods–Saxon potential indicate a satisfactory agreement with accessible experimental data.
Key words: Multipole Moments; Woods–Saxon Potential; One-Particle Nuclei; One-Hole Nuclei; Electromagnetic Transition Probability.
PACS numbers: 21.10.kx; 21.60.cs; 23.20.−g