Intermediate coupling approach in the unified model of the 39K nucleus

High Spin States in39K from the36Ar(α,pγ)39K Reaction

“…As the low-lying levels of 'Oca have T=O, the reduction of the M l strength in this nucleus, here considered as a core, may be reflected in 39K. It would be of interest to compare transition rates using wavefunctions from the recent calculations made by Maripuu [13] and Wiktor [18] to the experimental values.…”

“…Interpreting the 3 943 keV (11/2-) and the 5 717 keV (13/2) states as corresponding to the yrast levels of these spin values in Maripuu's calculation, it is observed that the calculated positions are somewhat too low. The calculated position of the first 15/2-level, however, is at 11.7 MeV.In a recent work by Wiktor[18], the low-lying energy levels of…”

“…The result of this calculation as regards states with J > 7/2 is reproduced in Fig. 6 C. In the calculation by Wiktor [18] the 11/2-and 13/2-states overlap at 4.91 MeV. The inclusion of further terms in the wave functions used by Wiktor will push the levels down and the overlap could be resolved [ 181.…”

“…In the weak-coupling model the d3/, and s1/2 proton holes are coupled to the 2-, 3-and 5-states in 40Ca [16] and in the phonon-hole model the negative parity states in 38K arise from a coupling of the d,,, hole to the 3-and 5-state of "Oca [17]. Recently Wiktor [18] has examined the low energy levels of 30K using the intermediate coupling approach in the unified model. Durell et al [I91 have considered deformed states in 38K and expect the existence of K = 7/2-(oblate) and K = 3/2-(prolate) deformed states corresponding to the 4p-4h and 8p-8h structures in W a .…”