Abstract
With help of our newly-developed evolutionary model-independent approach we have found that with the increase in mass number of all studied odd 2s1d-shell nuclei 23Na, 27Al, 31P, and 35,37Cl the dominant deformation of the shape of these nuclei in low-laying single-particle states changes from quadrupole to hexadecapole and further to hexacontatetrapole. The single states and the continuous sets of states with abnormally weak deformation are found. The points of shape phase transitions with a change in the multipolity of deformation are found in the single-particle spectrum of 37Cl nucleus.
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